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x 5 lower 4th 5 fs 5

fs 5









upper 4th 5 3fs 5

Subtracting fs from the lower 4th gives a negative number, and none of the observations are negative, so there are no outliers on the lower end of the data. However,

Not for Sale upper 4th 1 fs 5

upper 4th 1 3fs 5

Thus the four largest observations—, , , and —are extreme outliers, and , , , and are mild outliers. The whiskers in the boxplot in Figure extend out to the smallest observation, , on the low end and , the largest observation that is not an outlier, on the upper end. There is some positive skewness in the middle half of the data (the median line is somewhat closer to the left edge of the box than to the right edge) and a great deal of positive skewness overall.

load 0



Figure



Daily nitrogen load







A boxplot of the nitrogen load data showing mild and extreme outliers



Comparative Boxplots A comparative or side-by-side boxplot is a very effective way of revealing similarities and differences between two or more data sets consisting of observations on the same variable—fuel efficiency observations for four different types of automobiles, crop yields for three different varieties, and so on.

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Example

In recent years, some evidence suggests that high indoor radon concentration may be linked to the development of childhood cancers, but many health professionals remain unconvinced. A recent article (“Indoor Radon and Childhood Cancer,” The Lancet, –) presented the accompanying data on radon concentration (Bq/m3) in two different samples of houses. The first sample consisted of houses in which a child diagnosed with cancer had been residing. Houses in the second sample had no recorded cases of childhood cancer. Figure presents a stem-and-leaf display of the data. 1. Cancer

2. No cancer

5 7

0 1 2 3 4 5 6 7 8

HI: Figure

55

5

Stem: Tens digit Leaf: Ones digit

Stem-and-leaf display for Example

Numerical summary quantities are as follows:

Not for Sale Cancer No cancer

x

x when the observations are reexpressed in minutes?

Not for Sale

U: F:

a. Determine the sample mean for each sample. How do they compare? b. Determine the sample median for each sample. How do they compare? Why is the median for the urban sample so different from the mean for that sample? c. Calculate the trimmed mean for each sample by deleting the smallest and largest observation. What are the corresponding trimming percentages? How do the values of these trimmed means compare to the corresponding means and medians?

The minimum injection pressure (psi) for injection molding specimens of high amylose corn was determined for eight different specimens (higher pressure corresponds to greater processing difficulty), resulting in the following observations (from “Thermoplastic Starch Blends with a Polyethylene-Co-Vinyl Alcohol: Processability and Physical Properties,” Polymer Engr. and Science, 17–23):















a. Determine the values of the sample mean, sample median, and % trimmed mean, and compare these values. b. By how much could the smallest sample observation, currently , be increased without affecting the value of the sample median? c. Suppose we want the values of the sample mean and median when the observations are expressed in kilograms per square inch (ksi) rather than psi. Is it necessary to

The article “Snow Cover and Temperature Relationships in North America and Eurasia” (J. Climate and Applied Meteorology, –) used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years – (in million km2): What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

Blood pressure values are often reported to the nearest 5 mmHg (, , , etc.). Suppose the actual blood pressure values for nine randomly selected individuals are a. What is the median of the reported blood pressure values? b. Suppose the blood pressure of the second individual is rather than (a small change in a single value). How does this affect the median of the reported values? What does this say about the sensitivity of the median to rounding or grouping in the data? The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/) to reach a given crack size in fastener holes intended for use in military aircraft (“Statistical Crack

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Measures of Variability

Propagation in Fastener Holes Under Spectrum Loading,” J. Aircraft, –):















a. Compute and compare the values of the sample mean and median. b. By how much could the largest sample observation be decreased without affecting the value of the median? Compute the sample median, 25% trimmed mean, 10% trimmed mean, and sample mean for the lifetime data given in Exercise 27, and compare these measures. A sample of n 5 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage by S (for success) and a car with such damage by F, results were as follows:

c. Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S’s to give x/n 5 for the entire sample of 25 cars? a. If a constant c is added to each xi in a sample, yielding yi 5 xi 1 c, how do the sample mean and median of the yis relate to the mean and median of the xis? Verify your conjectures. b. If each xi is multiplied by a constant c, yielding yi 5 cxi, answer the question of part (a). Again, verify your conjectures. An experiment to study the lifetime (in hours) for a certain type of component involved putting ten components into operation and observing them for hours. Eight of the components failed during that period, and those lifetimes were recorded. Denote the lifetimes of the two components still functioning after hours by . The resulting sample observations were

S S F S S S F F S S 48

a. What is the value of the sample proportion of successes x/n? b. Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample. How does x compare to x/n?

79



35

92

86

57



17

29

Which of the measures of center discussed in this section can be calculated, and what are the values of those measures? [Note: The data from this experiment is said to be “censored on the right.”]

Not for Sale Measures of Variability

Reporting a measure of center gives only partial information about a data set or distribution. Different samples or populations may have identical measures of center yet differ from one another in other important ways. Figure shows dotplots of three samples with the same mean and median, yet the extent of spread about the center is different for all three samples. The first sample has the largest amount of variability, the third has the smallest amount, and the second is intermediate to the other two in this respect.

1:

*

*

*

*

*

*

*

*

*

2: 3:

30

Figure

40

50

60

70

Samples with identical measures of center but different amounts of variability

Measures of Variability for Sample Data The simplest measure of variability in a sample is the range, which is the difference between the largest and smallest sample values. The value of the range for sample 1 in Figure is much larger than it is for sample 3, reflecting more variability in the first sample than in the third. A defect of the range, though, is that it depends on only the two most extreme observations and disregards the positions of the remaining

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n 2 2 values. Samples 1 and 2 in Figure have identical ranges, yet when we take into account the observations between the two extremes, there is much less variability or dispersion in the second sample than in the first. Our primary measures of variability involve the deviations from the mean, x1 2 x, x2 2 x, c, xn 2 x. That is, the deviations from the mean are obtained by subtracting x from each of the n sample observations. A deviation will be positive if the observation is larger than the mean (to the right of the mean on the measurement axis) and negative if the observation is smaller than the mean. If all the deviations are small in magnitude, then all xis are close to the mean and there is little variability. Alternatively, if some of the deviations are large in magnitude, then some xis lie far from x, suggesting a greater amount of variability. A simple way to combine the deviations into a single quantity is to average them. Unfortunately, this is a bad idea: n

sum of deviations 5

g (xi 2 x) 5 0 i51

so that the average deviation is always zero. The verification uses several standard rules of summation and the fact that gx 5 x 1 x 1 c 1 x 5 nx:

g (xi 2 x) 5 g xi 2 g x 5 g xi 2 nx 5 g xi 2 na n g xi b 5 0 1

How can we prevent negative and positive deviations from counteracting one another when they are combined? One possibility is to work with the absolute values of the deviations and calculate the average absolute deviation g u xi 2 x u/n. Because the absolute value operation leads to a number of theoretical difficulties, consider instead the squared deviations (x1 2 x)2, (x2 2 x)2, c, (xn 2 x)2. Rather than use the average squared deviation g(xi 2 x)2/n, for several reasons we divide the sum of squared deviations by n 2 1 rather than n.

Not for Sale DEFINITION

The sample variance, denoted by s2, is given by s2 5

Sxx g(xi 2 x)2 5 n21 n21

The sample standard deviation, denoted by s, is the (positive) square root of the variance: s 5 2s 2

Note that s2 and s are both nonnegative. The unit for s is the same as the unit for each of the xis. If, for example, the observations are fuel efficiencies in miles per gallon, then we might have s 5 mpg. A rough interpretation of the sample standard deviation is that it is the size of a typical or representative deviation from the sample mean within the given sample. Thus if s 5 mpg, then some xi’s in the sample are closer than to x, whereas others are farther away; is a representative (or “standard”) deviation from the mean fuel efficiency. If s 5 for a second sample of cars of another type, a typical deviation in this sample is roughly times what it is in the first sample, an indication of more variability in the second sample.

Example

The Web site storycall.us contains a wealth of information about fuel characteristics of various vehicles. In addition to EPA mileage ratings, there are

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37

many vehicles for which users have reported their own values of fuel efficiency (mpg). Consider the following sample of n 5 11 efficiencies for the Ford Focus equipped with an automatic transmission (for this model, EPA reports an overall rating of 27 mpg–24 mpg for city driving and 33 mpg for highway driving):

Car

xi

xi 2 x

sxi 2 xd2

1 2 3 4 5 6 7 8 9 10 11







gxi 5

g sxi 2 xd 5

g sxi 2 xd2 5

x 5

Effects of rounding account for the sum of deviations not being exactly zero. The numerator of s2 is Sxx 5 , from which

Not for Sale s2 5

Sxx 5 5 , n21 11 2 1

s 5

The size of a representative deviation from the sample mean is roughly mpg. Note: Of the nine people who also reported driving behavior, only three did more than 80% of their driving in highway mode; we bet you can guess which cars they drove. We haven’t a clue why all 11 reported values exceed the EPA figure—maybe only drivers with really good fuel efficiencies communicate their results. ■

Motivation for s2 To explain the rationale for the divisor n 2 1 in s2, note first that whereas s2 measures sample variability, there is a measure of variability in the population called the population variance. We will use s2 (the square of the lowercase Greek letter sigma) to denote the population variance and s to denote the population standard deviation (the square root of s2). When the population is finite and consists of N values, N

s2 5

g (xi 2 m)2/N i51

which is the average of all squared deviations from the population mean (for the population, the divisor is N and not N 2 1). More general definitions of s2 appear in Chapters 3 and 4. Just as x will be used to make inferences about the population mean m, we should define the sample variance so that it can be used to make inferences about s2. Now note that s2 involves squared deviations about the population mean m. If we actually knew the value of m, then we could define the sample variance as the average squared deviation of the sample xis about m. However, the value of m is almost never known, so the sum of squared deviations about x must be used. But the xis tend to be closer to their average x than to the population average m, so to compensate for this

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the divisor n 2 1 is used rather than n. In other words, if we used a divisor n in the sample variance, then the resulting quantity would tend to underestimate s2 (produce estimated values that are too small on the average), whereas dividing by the slightly smaller n 2 1 corrects this underestimating. It is customary to refer to s2 as being based on n 2 1 degrees of freedom (df). This terminology reflects the fact that although s2 is based on the n quantities x1 2 x, x2 2 x, c, xn 2 x, these sum to 0, so specifying the values of any n 2 1 of the quantities determines the remaining value. For example, if n 5 4 and x1 2 x 5 8, x2 2 x 5 26, and x4 2 x 5 24, then automatically x3 2 x 5 2, so only three of the four values of xi 2 x are freely determined (3 df).

A Computing Formula for s2 It is best to obtain s2 from statistical software or else use a calculator that allows you to enter data into memory and then view s2 with a single keystroke. If your calculator does not have this capability, there is an alternative formula for Sxx that avoids calculating the deviations. The formula involves both Agxi B 2, summing and then squaring, and gx 2i , squaring and then summing.

An alternative expression for the numerator of s2 is Agxi B 2 Sxx 5 g(xi 2 x)2 5 gx 2i 2 n

Not for Sale Proof

Because x 5 gxi /n, nx 2 5 Agxi B 2/n. Then,

g(x i 2 x )2 5 g(x 2i 2 2x # x i 1 x 2) 5 gx 2i 2 2x gx i 1 g(x)2 5 gx 2i 2 2x # nx 1 n(x)2 5 gx 2i 2 n(x)2

Example

Traumatic knee dislocation often requires surgery to repair ruptured ligaments. One measure of recovery is range of motion (measured as the angle formed when, starting with the leg straight, the knee is bent as far as possible). The given data on postsurgical range of motion appeared in the article “Reconstruction of the Anterior and Posterior Cruciate Ligaments After Knee Dislocation” (Amer. J. Sports Med., –):























The sum of these 13 sample observations is gxi 5 , and the sum of their squares is gx 2i 5 ()2 1 ()2 1 c 1 ()2 5 , Thus the numerator of the sample variance is Sxx 5 gx 2i 2 [(gxi)2]/n 5 , 2 ()2/13 5 from which s 2 5 /12 5 and s 5



Both the defining formula and the computational formula for s2 can be sensitive to rounding, so as much decimal accuracy as possible should be used in intermediate calculations. Several other properties of s2 can enhance understanding and facilitate computation.

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PROPOSITION

39

Let x1, x2, c, xn be a sample and c be any nonzero constant. 1. If y1 5 x1 1 c, y2 5 x2 1 c, c , yn 5 xn 1 c, then s 2y 5 s 2x, and 2. If y1 5 cx1, c, yn 5 cxn, then s 2y 5 c2s 2x , sy 5 u c usx where s 2x is the sample variance of the x’s and s 2y is the sample variance of the y’s.

In words, Result 1 says that if a constant c is added to (or subtracted from) each data value, the variance is unchanged. This is intuitive, since adding or subtracting c shifts the location of the data set but leaves distances between data values unchanged. According to Result 2, multiplication of each xi by c results in s2 being multiplied by a factor of c2. These properties can be proved by noting in Result 1 that y 5 x 1 c and in Result 2 that y 5 cx.

Boxplots Stem-and-leaf displays and histograms convey rather general impressions about a data set, whereas a single summary such as the mean or standard deviation focuses on just one aspect of the data. In recent years, a pictorial summary called a boxplot has been used successfully to describe several of a data set’s most prominent features. These features include (1) center, (2) spread, (3) the extent and nature of any departure from symmetry, and (4) identification of “outliers,” observations that lie unusually far from the main body of the data. Because even a single outlier can drastically affect the values of x and s, a boxplot is based on measures that are “resistant” to the presence of a few outliers—the median and a measure of variability called the fourth spread.

Not for Sale DEFINITION

Order the n observations from smallest to largest and separate the smallest half from the largest half; the median x is included in both halves if n is odd. Then the lower fourth is the median of the smallest half and the upper fourth is the median of the largest half. A measure of spread that is resistant to outliers is the fourth spread fs, given by fs 5 upper fourth 2 lower fourth

Roughly speaking, the fourth spread is unaffected by the positions of those observations in the smallest 25% or the largest 25% of the data. Hence it is resistant to outliers. The simplest boxplot is based on the following five-number summary: smallest xi lower fourth median upper fourth largest xi First, draw a horizontal measurement scale. Then place a rectangle above this axis; the left edge of the rectangle is at the lower fourth, and the right edge is at the upper fourth (so box width 5 fs). Place a vertical line segment or some other symbol inside the rectangle at the location of the median; the position of the median symbol relative to the two edges conveys information about skewness in the middle 50% of the data. Finally, draw “whiskers” out from either end of the rectangle to the smallest and largest observations. A boxplot with a vertical orientation can also be drawn by making obvious modifications in the construction process.

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Example

Ultrasound was used to gather the accompanying corrosion data on the thickness of the floor plate of an aboveground tank used to store crude oil (“Statistical Analysis of UT Corrosion Data from Floor Plates of a Crude Oil Aboveground Storage Tank,” Materials Eval., –); each observation is the largest pit depth in the plate, expressed in milli-in. ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩

40 52 55 60 70 75 85 85 90 90 92 94 94 95 98 ⎧ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩

40

10/19/10

The five-number summary is as follows: smallest xi 5 40 lower fourth 5 . As with x and m, we can think of ulation, the population median, denoted by m

Two movies by Jenica Bergere

First Feature

Come Simi

Weak direction and message
Bottom score: music (2)

Pointless script, unbearable music…

Rotten Tomatoes Critics &#;
Metascore &#;
Roger Ebert &#;
Rotten Tomatoes Audience &#;
IMDB 6,1
Average critics &#;
Average public 6,1

Cast: Jenica Bergere, Molly Shannon, Tawny Kitaen
Director: Jenica Bergere
Writers: Jenica Bergere, Doc Pedrolie
Music by Johnny Harris
Cinematography by Peter Mosiman
Film Editing by Jaceson Mann

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Top gender content

Good TV movie, with a surprising musical choice

Rotten Tomatoes Critics &#;
Metascore &#;
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IMDB 7,5
Average critics &#;
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Metascore 4,5
Roger Ebert 3,8
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IMDB 6,1
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Average public 6,1

Cast: Aaron Taylor-Johnson, Billy Bob Thornton, Odessa Young, Giovanni Ribisi
Director: Sam Taylor-Johnson
Screenplay: Aaron Taylor-Johnson, Sam Taylor-Johnson
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Director of Photography: Jeff Cronenweth
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A week of first features (2/4)

Aniara

Original premises, but these get lost in the vast hopelessness its universe describes

Rotten Tomatoes Critics 6,9
Metascore 6,1
Roger Ebert 7,5
Rotten Tomatoes Audience 7,0
IMDB 6,3
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Average public 6,7

Cast: Emelie Jonsson, Arvin Kananian, Bianca Cruzeiro, Anneli Martini
Director: Pella Kågerman, Hugo Lilja
Writer (poem): Harry Martinson
Writer: Hugo Lilja, Pella Kågerman
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Editor: Pella Kågerman, Björn Kessler
Michał Leszczyłowski
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Mr. JonesGood script, images and message
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Director: Agnieszka Holland
Writer: Andrea Chalupa
Cinematographer: Tomasz Naumiuk
Editor: Michał Czarnecki
Composer: Antoni Lazarkiewicz

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Rotten Tomatoes Critics 7,5
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Roger Ebert 6,3
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IMDB 6,7
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Average public 6,9

Cast: Jasmine Trinca, Carlo Cecchi, Libero De Rienzo, Vinicio Marchioni, Iaia Forte
Director: Valeria Golino
Novel: Angela Del Fabbro
Screenplay: Valeria Golino, Francesca Marciano, Valia Santella
Music by Christian Rainer
Cinematography by Gergely Pohárnok
Film Editing by Giogiò Franchini

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A German week

The work of Katja von Garnier (3/4)

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Good tv movie, with a surprising musical choice

Rotten Tomatoes Critics &#;
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Cast: Hilary Swank, Margo Martindale, Anjelica Huston
Director: Katja von Garnier
Writers: Jennifer Friedes (story), Sally Robinson (teleplay)
Music by Reinhold Heil, Johnny Klimek
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A movie about a years-old young girl who has to deal with a pregnancy that wasn&#;t planned and that she doesn&#;t want
A movie about girl power, without much glamour, just girls doing what has to be done
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Its themes similar to Chadha&#;s
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Director: Gurinder Chadha
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Writer: Ash Mayfair
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Thirst
Good images and music (8)
Excellent script, personages, dialogues, direction, and content (9)

A movie about climate change and environmental damage, but the title &#;Thirst&#; does not only refer to the lack of water but also to sexual thirst
Great direction: the Images do not need dialogues to say a lot. An exceptionnal first feature!

Cast: Monika Naydenova, Alexander Benev, Svetlana Yancheva
Director: Svetla Tsotsorkova
Writers: Svetoslav Ovtcharov, Svetla Tsotsorkova, Ventsislav Vasilev
Music by Hristo Namliev
Cinematography by Vesselin Hristov
Film Editing by Nina Altaparmakova, Svetla Tsotsorkova

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Nisha Ganatra (2/2)

Fridays Classics

First Feature

Chutney PopcornGood script (8)
Excellent content (9)

Amateuristic direction and performances, but fun and smart. An inspired debut!

Cast: Nisha Ganatra, Jill Hennessy, Sakina Jaffrey
Director: Nisha Ganatra
Writers: Susan Carnival, Nisha Ganatra
Music by Karsh Kale
Cinematography by Erin King
Film Editing by Jane Pia Abramowitz

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Nisha Ganatra (1/2)

Late NightGood personages, direction, and images (8)
Excellent humor and content (9)
Top dialogues (10)

Hats off to Mindy Kaling for a good story and excellent dialogues!
Great cast!

Cast: Emma Thompson, Mindy Kaling, John Lithgow, Reid Scott, Amy Ryan, Denis O&#;Hare, Hugh Dancy, Max Casella, Ike Barinholtz
Director: Nisha Ganatra
Writer: Mindy Kaling
Cinematographer: Matthew Clark
Editor: Eleanor Infante, David Rogers
Composer: Lesley Barber

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The work of Randa Haines (6/6)

The Ron Clark StoryGood script, personages, dialogues, images
Top score: minorities (10)

Soberer direction and camera than in Haines&#; previous movies (i.e. The Outsider) and the first movie in which the hero &#; a teacher &#; is not taught a lesson 🙂

Cast: Matthew Perry, Judith Buchan, Griffin Cork
Director: Randa Haines
Writers: Annie DeYoung, Max Enscoe
Music by Mark Adler
Cinematography by Derick V. Underschultz
Film Editing by Heather Persons

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The Work of Randa Haines (5/6)

The OutsiderGood script, images

Here again, the hero is taught a lesson: this time, a professional killer lays down his weapons, converted by a woman who belongs to the Plain People (Anabaptists) and with whom he’s fallen in love
Slick direction, lubricated images&#;

Cast: Tim Daly, Naomi Watts, Keith Carradine
Director: Randa Haines
Writers: Penelope Williamson (book), Jenny Wingfield (teleplay)
Music by Todd Boekelheide
Cinematography by Ben Nott
Film Editing by Lisa Bromwell

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The Work of Randa Haines (4/6)

Dance with meGood humor, images, music (8)
Excellent dialogues (9)

A tv-movie inspired direction in which everything is too shiny, too smiley, thanks to an overstretched script.
However, good music, good choregraphy, and, as always with Randa Haines, great humor and top dialogues
The story forwards Haines&#;s characteristic structural theme: a top professional &#; this time a female dancer &#; learns a (life) lesson from an amateur.
&#;This is a movie of predictable pleasures, and then it has those surprises.&#; [Roger Ebert]

Cast: Vanessa L. Williams, Rick Valenzuela, Kris Kristofferson, Chayanne, Joan Plowright
Written by Daryl Matthews
Directed by Randa Haines
Music by Michael Convertino
Cinematography by Fred Murphy
Film Editing by Lisa Fruchtman, William S. Scharf
Choreography by Liz Curtis, Ty Donaldson, Daryl Matthews,

Источник: [storycall.us]

List Movie Toko - Online22 30 Nov

online22

no telp alamat email No Rek BCA

/ storycall.us22@storycall.us / storycall.us@storycall.us suwandi

Total collection Up to 70 TB (actual size)


FAQ ORDER

- setelah mendownload list, pastikan bahwa agan telah mengisi data diri agan dengan benar kasihan juga gan kalo ojeg sampe salah antar alamat atau salah telp hehehe - selanjutnya agan memilih pilihan agan dengan mengetik angka "1" pada column yg sudah di sediakan. (format list mohon Jgn di rubah2) karena sangat mempengaruhi kecepatan pengerjaan - jgn lupa untuk mengirim kembali list ini ke email yg tercantum di atas

-Setelah email sudah dkirim kembali , mohon konfirm via sms agar segera diproses - hari setelah kami mengerjakan hardisk dari agan atau orderan agan selesai tinggal kirim ke agan - naaaahhhh setelah orderan agan terima. agan tonton. Jgn lupa ya gan. TESTIMONIALnya. Hehehe. Testimonial agan sangat berarti buat kami menyangkut kelangsungan hidup saya soalnya.. Hehehe regards.

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HD MOVIE
$5 a Day () $ () () Days of Summer () And Justice for All () [Rec] 2 () Moonraker () Never Say Never Again () 10 () 10 Things I Hate About You () 10, BC () Feet () 11 11 11 () 11 14 () 12 () 12 Rounds () Hours () 13 () 13 Assassins () 13 Going On 30 () 13 Hours () 14 Blades () () Conquest Of Paradise () 15 Minutes () 16 Blocks () 16 Wishes () 17Again () () Revolution () 2 Fast 2 Furious () 2 Harigar Nagar () 2;22 () A Space Odyssey () Maniacs () Maniacs Field Of Screams () The Year We Make Contact () () 20Th Century Boys The Last Chapter () 21 () 21 Grams () 27 Dress ()

Cover

Year

Audio

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English audio English English Spanish English English English English English English English Russian English English English Chinese English English Chinese English English English English English English Italian Spanish / English Malayalam English English English English English English Japanese English English English

28 Days Later () 28 Weeks Later () 3 10 to Yuma () 3 Idiots () 3 Metros Sobre El Cielo () 3 Musketeers () 30 Days of Night () 30 Days Of Night,Dark days () 30 Minutes or Less () () 35 and Ticking () 36 () 36th Chamber Of Shaolin () () 40 Days And 40 Nights () 44 Inch Chest () 48 Hours () 50 First Dates () 51 () 61 () 7 Days () 7 lives () 7 Seconds () 71 Into the Fire () 72 Tenants of Prosperity () 7th Heaven () 8 Mile () 8,5 () 88 Minutes () 9 () 9 Songs () 99 Francs () 9TH Company () A Beautiful Mind () A Better Life () A Better Tomorrow () A Better Tomorrow () A Better Tomorrow II () A Better Tomorrow III Love and Death in Saigon () A Bridge Too Far () A Brush with Death () A Bug's Life () A Chinese Ghost Story () A Chinese Ghost Story () A Chinese Ghost Story 2 () A Chinese Ghost Story 3 () A Christmas Carol ()

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English English English Hindi Spanish Russian / English English English English French Chinese English English English English English English English French English English Korean Chinese English English Italian English English English French Russian English English English Korean Chinese Chinese English English English Chinese Chinese Chinese Chinese English

I. Artificial Intelligence () Abandoned () About A Boy () Above The Law () Absolute Power () Accepted ()

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Chinese English English English German / English English Hindi English Russian / English English English English English English English English English English Chinese English English English English English English English English English English Hindi English Japanese Telugu English English English English English English English English English English English English English English

All About Love () All About Steve () All Dogs Go To Heaven () All Dogs Go to Heaven 2 () All Good Things () All Quiet On The Western Front () All Star Superman () All The Boys Love.

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English English English English English English English English English Italian French English English English English English English English English English English English English English French English English English English Japanese English English English English Korean English English English Danish English English Chinese French English English / Chinese

Art Of The Devil 2 () Arthur () Arthur 3, The War Of The Rwo Worlds () Arthur and the Invisibles () Arthur And The Revenge Of Maltazard () As Good As Dead () As Tears Go By () Ashes of Time Redux () Ashita no Joe () Assasination of Jesse James Assassination Of A High School President Assassins () Assault Girls () Assault on Precinct 13 () Assembly () Asterix and The Vikings () Astro Boy () Asylum of The Damned () At the End of Daybreak () Atlas Shrugged () Atonement () Attack on Leningrad () Attack the Block () Au Revoir Les Enfants () Au revoir Taipei () August Rush () Austin Powers In Goldmember () Austin Powers, International Man Of Mystery () Austin Powers, The Spy Who Shagged Me () Australia () Autopsy () Av Mevsimi () Avalon () Avatar () Avatar Extended Colector Edition () AVP Alien vs. Predator () AVPR Aliens vs Predator - Requiem () Awake () Awakenings () Away We Go () Awaydays () Azumi () Azumi 2 Death or Love () B.o.b Big Break In Monster 3d () Babe () Babel () Babies ()

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Baby Blues () Baby Mama () Baby on Board () Babylon A.D. () Babysitter Wanted () Back To Future () Back To Future 2 () Back To Future 3 () Backdraft () Bad Blood () Bad Boys () Bad Boys II () Bad Lieutenant () Bad Teacher () Balibo () Ballast () Balls Of Fury () Bambi () Bambi 2 () Banana () Band Baaja Baaraat () Bandidas () Bandslam () Bangkok Dangerous () Banlieue 13, Ultimatum () Barb Wire () Barfly () Barneys Version () Barry Lyndon () Barry Munday () Baseline () Basement () Basic () Basic Instinct () Basic Instinct 2 () Bathory () Batman & Robin () Batman () Batman Begins () Batman Beyond Return of the Joker () Batman Forever () Batman Gotham Knight () Batman Returns () Batman The Movie () Batman Under the Red Hood () Battle for Haditha () Battle for Terra ()

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Battle for the Planet of the Apes () Battle in Seattle () Battle Of Los Angeles () Battle Of The Bulge () Battle Royale () Battle Under Orion () Battlestar Galactica Razor () Battlestar Galactica The Plan () Bayside Shakedown () Bayside Shakedown 2 () Bayside Shakedown 3 Set the Guys Loose () Bbuddah Hoga Terra Baap () Be Cool () Be Kind Rewind () Beach Spike () Beastly () Beatdown () Beautiful () Beautiful Boy () Beauty & The Briefcase () Beauty And The Beast () Beauty And The Beast () Beauty on Duty! () Because I Said So () Because of Winn Dixie () Becket () Becoming Jane () Bedevilled () Bedtime Stories () Bee Movie () Beerfest () Beetle Juice () Before the Devil Knows You're Dead () Beginning of The Great Revival () Behind Enemy Lines () Behind The Mask, The Rise Of Leslie Vernon () Being John Malkovich () Being There () Belphecor Curse of The Mummy () Ben 10 Alien Swarm () Bend It Like Beckham () Benda Bilili () Beneath Hill 60 () Beneath The Blue () Beneath the Planet of The Apes () Benny and Joon () Beowulf & Grendel ()

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English French Portuguese Korean English English English English English English English English Italian English English English English English English English English English English English Hindi English English English English English English Catalan English English English English Russian Chinese Chinese English Portuguese English Chinese English English English English

Blade Trinity () Blades of Glory () Blazing Saddles () Blessed () Blind Dating () Blindness () Blitz () Blonde Ambition () Blood () Blood And Bone () Blood And Chocolate () Blood Diamond () Blood Done Sign My Name () Blood Into Wine () Blood Out () Blood River () Blood Simple () Blood Sport () Blood The Last Vampire () BloodRayne II Deliverance () Bloodrayne The Third Reich () Blow () Blow Out () Blubberella () Blue () Blue Crush () Blue Crush 2 () Blue Moon Rising () Blue Steel () Blue Streak () Blue Valentine () Bobby () Body Heat () Body of Lies () Bodyguards and Assassins () Boiler Room () Bolt () Bon Cop, Bad Cop () Bonded By Blood () Bonnie And Clyde () Boogeyman () Boogeyman 2 () Boogeyman 3 () Boogie Nights () Boogie Woogie () Book of Blood () Borat! ()

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Borderland () Bordertown () Born Bad () Born Wild () Bottle Rocket () Bottle Shock () Bound () Boundin () Bourne To Raise Hell () Bran Nue Dae () Brass Knuckle Boys () Brave Heart () Brave Story () Brazil () Breach () Break Up Club () Breaker Morant () Breaking and Entering () Breathless () Brick () Bride Wars () Bridesmaids () Bridge To Terabithia () Bridget Jones The Edge of Reason () Bridget Jones's Diary () Brief Interviews with Hideous Men () Bright Star () Brighton Rock () Broadcast News () Brokeback Mountain () Broken Arrow () Broken Embraces () Broken Flowers () Broken Trail () Bronson () Brotherhood () Brotherhood Of The Wolf () Brothers () Bruce Almighty () Bruce Lee My Brother () Bruna Surfistinha () Brno () Bubba Ho Tep () Bubble () Buddha Mountain () Bug () Bull Durham ()

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English English Chinese English English English English English English Japanese English French / Japanese English English Chinese English English French English English English English English English English English English English English English Spanish English English English English French English English Chinese Portuguese English English English Chinese English English

Bulletproof Monk () Bunraku () Burke & Hare () Burlesque () Burn After Reading () Burn Notice The Fall of Sam Axe () Burn-E () Burning Bright () Burning Palms () Burried () Butch Cassidy And The Sundance Kid () Butterfly Lovers () Butterfly On A Wheel () Cabin Fever 2 Spring Fever () Cache () CaddyShack () Caligula () Camile () Camp Rock () Camp Rock 2 The Final Jam () Cape Fear () Capote () Capricorn One () Captain America The First Avenger () Captivity () Caramel () Carancho () Careless () Cargo () Carjacked () Carlito's Way () Carlos The Jackal () Carmen () Carrie () Carriers () Cars () Cars 2 () Cars Toons Matter Tall Tales () Casablanca () Casanova () Case 39 () Casino () Casino Jack () Casino Royale () Cassandra's Dream () Casshern () Cast Away ()

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Castle In The Sky () Cat Run () Catch and Release () Caterpillar () Catfish () Cats & Dogs () Cats & Dogs The Revenge of Kitty Galore () Catwoman () Caught in the Crossfire () Cavalcade Of Cartoon Comedy () Cedar Boys () Cedar Rapids () Cell () Cellular () Cemetery Junction () Centurion () Ceremony () Certified Copy () Chain Letter () Chain Reaction () Chalet Girl () Change of Plans () Changeling () Changes of Plans () Changing Lanes () Chaos () Chaplin () Charade () Charlie And The Chocolate Factory () Charlie St. Cloud () Charlie Valentine () Charlie Wilson's War () Charlie's Angels () Charlotte's Web () Chasing Amy () Chatroom () Che () Cheaper by The Dozen 2 () Checking Out () Chemical Wedding () CherryBomb () Chicago () Chicken Little () Chicken Run () Chico and Rita () Children of Dune () Children Of Men ()

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Coyote Falls () Coyote Ugly () Cracks Eva Green () Crank () Crank High Voltage () Crash () Crazy () Crazy Eights () Crazy Heart () Crazy On The Outside () Crazy, Stupid, Love. () Creation () Crime Story () Crimson Rivers 2 Angels of the Apocalypse () Cronos () Crossing Over Crouching Tiger Hidden Dragon () Crows Zero () Crows Zero II () Cruel Intentions () Crumb () Cry Of The Owl () Cube () Cuckoo () Cujo () Curdled () Curse of the Deserted () Curse Of The Golden Flower () Cursed () Cut Throat Island () Cutthroat Island () Cyborg Soldier () Cyclops () Cypher () Cyrus () Dabangg () Daddy Day Camp () Damage () Damien, Omen II () Damned By Dawn () Dan In Real Life () Dance Flick () Dances with Wolves () Danny the Dog () Dantes Inferno An Animated Epic () Dante's Peak () Dare ()

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Hindi Hindi English English English English English English English English English English English English English English English English English English French Italian English English English English English English English English English English English English English English English English Chinese English English English English English English English English

Downfall () Downstream () Dr Horrible's Sing Along Blog () Dr StrangeLove () Dr. Dolittle () Dr. No () Dracula () Draculla () Drag Me To Hell () Dragon Crusaders () Dragon Hunters () Dragon Tiger Gate () Dragonball Evolution () DragonHeart () Dragonquest () Dread () Dream Home () Dreamgirls () Driftwood () Drillbit Taylor () Drive Angry () Driven To Kill () Drop Zone () Drumline () Drunkboat () Drunken Master II () D-Tox () Dude, Where's My Car () Due Date () Dug's Special Mission (Video ) Dumb & Dumber () Dumbo () Dune () Dungeon And Dragons () Duplex () Duplicity () Duress () D-War () Dylan Dog Dead of Night () Eagle Eye () Earth (TV ) Eastern Condors () Eastern Promises () Easy A () Easy Money () Easy Rider () Easy Virtue ()

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German English English English English English English English English French Chinese English English English English Chinese English English English English English English English English English English English English English English English English English English English English English English English Chinese English English Swedish English English

Eat Pray Love () Echelon Conspiracy () Echoes of the Rainbow () Eden Lake () Edge Of Darkness () Edison () Edward Scissorhands () Eight Below () El Cid () El MAriachi () El Norte () El Topo () Election () Election II () Elegy () Elektra () Elektra Luxx () Elemination () Elephant () Elephant White () Elf () Elimination () Elite squad () Elite Squad 2 () Elizabeth () Elizabeth The Golden Age () Ella Enchanted () Elsewhere () Emma () Empire of the Wolves () Employee Of The Month () Enchanted () End of Days () Endgame () Endhiran () Enemy at the Gates () Enemy of the State () Enter the Dragon () Enter The Void () Entrapment () Epic Movie () Equilibrium () Eragon () Eraser () Erin Brockovich () Ernest Goes To Jail () Escape From La ()

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English English English English Chinese English Japanese English English English English Swedish English English English English English English English English English French Chinese English English English Chinese English English English English English English English English English English English English English English English English English English English English

Fallen () - 03 - The Destiny Falling Down () Fame () Fame () Family Guy Present Blue Harvest () Family Guy Present Its A Trap () Family Guy Presents Something, Something, Something, Dark Side () FanBoys () Fantasia () Fantasia () Fantastic 4 Rise of the Silver Surfer () Fantastic Four () Fantastic Mr. Fox () Fantomas se Dechaine () Far Cry () Far From Heaven () Fargo () Fast & Furious () Fast five () Fast Time at Ridgemont High () Faster () Fat Choi Spirit () Fat Girl () Fatal Attraction () Fatal Move () Fateless () Father of Invention () Fear and Loathing In Las Vegas () Fearless () Feast () Feast Of Love () Felon () Female Agents () Ferris Bueller's Day Off () Fiddler on the Roof () Fido () Field of Dreams () Fifty Dead Men Walking () Fight Club () Fighting () Final Destination 1 () Final Destination 2 () Final Destination 3 () Final Fantasy Spirit Within () Final Fantasy VII Advent Children () Final Justice () Final Storm ()

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English English English English English English English English English English English English English French English English English English English English English Chinese French English Chinese English English English Chinese English English English French English English English English English English English English English English English Japanese Chinese English

Finding Amanda () Finding Nemo () Finding Neverland () Fingerprints () Fire & Ice The Dragon Chronicles () Fire of Conscience () Fire On The Amazon () Firebreather () Fired Up! () Firefox () Fireproof () Firewall () First Knight () First Sunday () Fish Tank () Fist of Fury () Fist Of Legend () Five Corners () Five Days of August () Five Deadly Venoms () Five Easy Pieces () Five Minarets in New York () Five Minutes of Heaven () Flags Of Our Fathers () Flammen & Citronen () Flash Gordon () Flash Point () Flashbacks Of A Fool () Flatliners () Flawless () Flesh For The Beast () Flesh Wounds () Fletch () Flicka () Flight of The Navigator () Flight of the Phoenix () Flightplan () Flipped () Flirting Scholar 2 () Flower And Snake () Flower and Snake 3 () Flowers () Flugten () Fly Me To The Moon () FlyBoys () Flypaper () Fool's Gold ()

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English English English English Chinese English English English English English English English English English English English English English English English English English English English German English English English English English English English English English

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Fubar () Fubar 2 () Full Metal Jacket () Funkytown () Funny Games U.S. () Funny People () Fur Of Flying () Furry Vengeance () Fuse Present Linkin Park Live at MSG () Futurama Bender's Game () Futurama Into the Wild Green Yonder () Future X-Cops () G.I. Joe The Rise of Cobra () storycall.us [] Gacy House () Gaemon () Gaganam () Gainsbourg () Galapagos () Galaxy Quest () Game of Death () Gamer () Gandhi () Gangs of New York () Gantz () Gardiens de l'ordre () Garfield () Garfield A Tail of Two Kitties () Gattaca () Generation Kill () Generation P () Gentlemen Broncos () George Michael Live at London () Geri's Game () Get Him to the Greek () Get Low () Get Shorty () Get Smart () Gettin' Square () Gettysburg () G-Force () Ghost () Ghost Busters () Ghost Cat () Ghost Dog The Way of the Samurai () Ghost Machine () Ghost Month ()

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English English English French English English English English English English English Chinese English English English Japanese Telugu French English English English English English English Japanese French English English English English Rusian English English English English English English English English English English English English English English English English

Ghost of Mars () Ghost Rider () Ghost Ship () Ghost Town () Ghosts of Girlfriends Past Ghotika () Gia () Giallo () Gimme Shelter () Give 'em Hell, Malone () Gladiator () Glengarry Glen Ross () Glenn, the Flying Robot () Glorious 39 () Glory () Glory Road () Gnaw () Gnomeo and Juliet () Go () Go Fast () Go Lala Go! () Goal 3 () Goal, The Dream Begins () Gods And General () Godzilla () Goemon () Going The Distance () Goldfinger () Gomorrah () Gone Baby Gone () Gone in Sixty Seconds () Gone Nutty () Good Luck Chuck () Good Neighbors () Good Night, And Good Luck () Good Will Hunting () Goodbye Bafana () Goodfellas () Gosford park () Gourgeous () Grace () Gran Torino () Grand Prix () Grease () Green lantern () Green Lantern Emerald Knights () Green Street Hooligans ()

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Green Zone () Greenberg () Greetings From The Shore () Gremlins () Gridiron Gang () Griff the Invisible () Grindhouse Death Proof () Groundhog Day () Groupie () Grown Ups () Grumpier Old Men () Guan yun chang () Gulliver's Travels () Gun () Gunless () Guru () Gympl () Habemus Papam () Hachiko A Dog's Story () Hack () Hair () Hairspray () Half Past Dead () Hall Pass () Halloween () Halloween () Halloween II () Halo legends () Hamburger Hill () Hamlet () Hanamizuki () Hancock () Hang 'Em High () Hanna () Hannah Montana The Movie () Hannibal () Hannibal Rising () Happily N'Ever After () Happiness is a Warm Blanket () Happy Feet () Happy Gilmore () Happy Go Lucky () Happy Together () Happythankyoumoreplease () Hard Boiled () Hard Candy () Hard Gun ()

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Hero () Hero Wanted () He's Just Not That Into You () Hesher () Heyy Babyy () Hidalgo () Hide And Seek () Hierro () Higanjima, Escape From The Vampire's Island () High Anxiety () High Crimes () High Hopes () High Lane () High Life () High School Musical () High School Musical 2 (TV ) High Tension () Highlander () Highlander 2 The Quickening () Hitch () Hitler The Rise Of Evil () Hitman () Hobo With a Shotgun () Hogfather () Hollow Man () Hollywoodland () Holy Rollers () Home () Home Alone () Home Alone 2 Lost in New York () Home Makeover () Home of The Brave () Homecoming () Honey () Honey 2 () Honeymoon In Vegas () Hoodwinked Too! Hood vs. Evil () Hoodwinked! () Hoosiers () Hop () Hope Floats () Horrible Bosses () Horsemen () Horton Hears a Who! () Hostage () Hostel () Hostel Part II ()

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Hot Fuzz () Hot Rod () Hot Shots! () Hot Summer Days () Hot Tub Time Machine () Hotel Chevalier () Hotel For Dogs () Hotel Rwanda () Houdini () House () House Broken () House Of Corpses () House of Flying Daggers () House Of Fury () House Of Wax () How Do You Know () How the Grinch Stole Christmas () How To Be () How To Lose A Guy In 10 Days () How to Lose Friends & Alienate People () How To Make Love To A Woman () How to Train Your Dragon () Howards End () Howl () Hulk () Hulk vs. Thor () Hulk vs. Wolverine () Humanoids From The Deep () Hunger () Hunt To Kill () Hunting Season () Hurricane Season () Hush () Husk () Hustle And Flow () Hyenas () I Am Legend () I Am Love () I Am Number Four () I am Omega () I Am Sam () I Come With The Rain () I Could Never Be Your Woman () I Give My First Love To You () I Hate Valentine's Day () I Know What You Did Last Summer () I Know Who Killed Me ()

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Just Call Me Nobody () Just Friends () Just Go with It () Just Wright () Justice League Crisis on Two Earths () Justin Bieber Never Say Never () K The Widowmaker () Kabhi Khushi Kabhie Gham () Kaboom () Kagemusha () Kaiji The Ultimate Gambler () Kajinek () Kal Ho Naa Ho () Kalifornia () Kamikaze Girls () Kamui () Kate And Leopold () Katyn () Keeping Mum () Kelly Heroes () Kes () Khichdi The Movie () Kick Ass () Kickboxer () Kidulthood () Kill Bill Vol. 1 () Kill Bill Vol.2 () Kill Speed () Kill The Irishman () Kill Theory () Kill Zone () Killer Movie () Killers () Killing Bono () Killing Zoe () Killshot () Kimi ni todoke () King Kong () King of New York () Kingdom of Heaven () Kiss Kiss Bang Bang () Kiss Of The Dragon () Kiss of The Spider Woman () Kit Kitteredge An American Girl () Kites () Knight And Day () Knockaround Guys ()

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Knocked Up () Knockin on Heaven's Door () Knockout () Knowing () Knuckle Head () Kolya () Kooky () Kramer vs. Kramer () Kuch Kuch Hota Hai () Kung Fu Hustle () Kung Fu Panda () Kung Fu Panda 2 () Kung Fu Panda Holiday Special () Kungfu Cult Master () KungFu Dunk () L Immortale () L.A. Confidential () L.O.V.E. () La Femme Nikita () La Haine () La Horde () LA Mission () La Vie En rose () Labor Pains () Labyrinth () Ladder 49 () Lady Hawke () Lady In The Water () Lady Vengeance () Ladybugs () Laid to Rest () Laid to Rest 2 () Lake Mungo () Lakeview Terrace () Land of The Dead () Land Of The Lost () Lapland Odyssey () Lappat () Lara Croft Tomb Raider () Lara Croft Tomb Raider The Cradle of Life () Largo Winch () Largo Winch (Tome 2) () Larry Crowne () Lars and the Real Girl () L'assaut () Last Action Hero () Last Chance Harvey ()

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Last Dance () Last Man Standing () Last Night () Last Ride () Last Stop () Last Tango In Paris () Last Year at Marienbad () Lat Den Ratte Komma Late Fee () Law Abiding Citizen () storycall.us Lazarus Project The () Le Cercle Rouge () Le Fils a Jo () Le premier cercle () Leap Year () Leatherheads () Leaves Of Grass () Lebanon () Legacy, Black Ops () Legally Blonde () Legally Blonde 2 () Legend () Legend Of The Boneknapper Dragon () Legend of the Fist The Return of Chen Zhen () Legend of the Guardians The Owls of Ga'Hoole () Legend Of The Millennium Dragon () Legend of the Tsunami Warrior () Legendary () Legends Of The Fall () Legion () L'ennemi public n1 () Leon The Proffesional () Les Visiteurs () Lesbian Vampire Killers () Let Me In () Let the Right One In () Lethal Weapon () Lethal Weapon 2 () Lethal Weapon 3 () Lethal Weapon 4 () Lets the Bullets Fly () Letter To Juliet () Letters From Iwo Jima () Letters To God () Liar Liar () Licence to Kill ()

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Lost In Rio () Lost In Space () Lost In Translation () Lottery Ticket () Lourdes () Love Actually () Love And Other Disasters () Love And Other Drugs () Love Crime () Love Happens () Love in a Puff () Love In Disguise () Love N' Dancing () Love On A Diet () Love Ranch () Love Wrecked () Love You Years () Love, Wedding, Marriage () Loving Memory () Lower Learning () Lucky Number Slevin () Lust Caution () Lymelife () M () Macbeth () MacGruber () Machete () Machine Gun McCaine () Mad Detective () Mad Max () Mad Max 2 () Madadayo () Madagascar () Madagascar Escape 2 Africa () Made In Dagenham () Made Of Honor () Magic Kitchen () Maid In Manhattan () Main Street () Major League () Make Up () Make Way for Tomorrow () Mall Girls () Mallrats () Mamma Mia! () Mammoth () Man Bites Dog ()

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Man on Fire () Man on the Moon () Man Suddenly In Love () Man Suddenly In Love () Management () Manhunter () Maniac () Mao's Last Dancer () Margin Call () Marked for Death () Marley & Me () Marmaduke () Mars Attacks! () Mars Needs Moms () Marwencool () Mary and Max () Mary Poppins () Mary Shelley's Frankenstein () MASH () Master and Commander () Match Point () Mater and the Ghostlight () Material Girls () Matinee () Matyrs () Maverick () Max Havoc Curse of the Dragon () Max Manus () Max Payne () Maximum Risk () McDull, Kung Fu Kindergarten () Me And Orson Welles () Me Myself And Irene () Mean Girls () Mean Street () Meet Bill () Meet Dave () Meet Joe Black () Meet Monica Velour () Meet The Fockers () Meet The Parents () Meet The Robinsons () Mega Python vs Gatoroid () MegaFault () Megamind () Megamind The Button of Doom () Melancholia ()

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Memento () Memoirs of a Geisha () Memories Of Matsuko () Memories of Murder () Men in Black () Men Of Honour () Menace II Society () Merantau () Mercenary for Justice () Mercury Man () Mercury Rising () Merlin And The Book Of Beast () Merlin And The War Of The Dragon () Merry Christmas Mr. Lawrence () Merry Go Round () Mesrine Part 1 - Killer Instinct () Mesrine Part 2 - Public Enemy 1 () Message in a Bottle () Messengers 2 The Scarecrow () Metropia () Miami Rhapsody () Miami Vice () Michael Clayton () Michael Jordan to the Max () Michel Vaillant () Micro Sex Office () Middle Men () Middle of Nowhere () Midgets Vs Mascots () Midnight Chronicles () Midnight Cowboy () Midnight Express () Midnight In Paris () Midnight Movie () Midnight Run () Milf () Milk () Miller's Crossing () Million Dollar Baby () Mimic () Mindhunters () Minority Report () Miracle () Mirageman () Mirapakai () MirrorMask () Mirrors ()

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Mirrors 2 () Misery () Miss Congeniality 2 Armed & Fabulous () Miss March () Miss Poter () Miss USA () Missing Lynx () Mission Impossible () Mission London () Mission To Mars () Mission, Impossible 2 () Mission, Impossible 3 () Mobsters () Moby Dick () Modern Times () Modigliani () Mohabbatein () Mon Pote () Mona Lisa Smile () Monamour () Money For Nothing () Money Train () Monga () Mongol The Rise of Genghis Khan () Monkey Magic () Monster () Monster House () Monsters () Monster's Ball () Monsters Vs Aliens () Monsters, Inc. () Monsterwolf () Monte Carlo () Moon () Moonstruck () Moonwalkers () Morning Glory () Morning Light () Mortal Kombat Annihilation () Mother () Motherhood () Mother's Day () Moulin Rouge! () Mr and Mrs Incredible () Mr Bean Ultimate Disaster () Mr Beans Holiday () Mr Deeds ()

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Mr Magoriums Wonder Emporium () Mr Nice () Mr Woodcock () Mr. & Mrs. Smith () Mr. 3 Minutes () Mr. Brooks () Mr. Hulot's Holiday () Mr. Nobody () Mr. Popper's Penguins () Mr. Troop Mom () Muay Thai Chaiya () Much Ado About Nothing () Muholland Dr () Mulan () Multiple Sarcasms () Muppets from Space () Murder 2 () Murder on The Orient Express () Music and Lyrics () Mutant Chronicles () Mutants () My Afternoons With Margueritte () My Best Friend's Girl () My Big Fat Greek Wedding () My Bloody Valentine () My Bloody Valentine 3-D () My Blueberry Nights () My Boss's Daughter () My Cousin Vinny () My Darling is a Foreigner () My Dog Skip () My Father the Hero () My Girlfriend is an Agent () My Girlfriends Boyfriend () My Life in Ruins () My Life to Live () My Mom's New Boyfriend () My Name Is Bruce () My Name Is Khan () My One and Only () My Own Love Song () My Own Swordman () My Rainy Days () My Sister's Keeper () My So Called Love () My Son, My Son, What Have Ye Done () My Soul To Take ()

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Outbreak () Outlander () Outlaw () Outrage () Outside The Law () Over Her Dead Body () Over The Hedge () Over the Top () Overheard () Oxygen () P2 () Paintball () Pale Flower () Pale Rider () Pandorum () Panic Button () Pan's Labyrinth () Paper Heart () Paper Man () Papilon () Paprika () Paranoid Park () Paranormal Activity () Paranormal Activity 2 () Paris Je Taime () Paris, Texas () Partly Cloudy () Passchendaele () Passengers () Passion Play () Patch Adams () Pathfinder () Pathfinders In the Company of Strangers () Pathology () Paths of Glory () Patriot Games () Patton () Paul () Paul Blart, Mall Cop () Payback Straight Up () Paycheck () Peacock () Pearl Harbor () Pearl Harbor Dawn of Death () Peeping Tom () Penelope () People on Sunday ()

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Pontypool () Ponyo On The Cliff By The Sea () Poolboy Drowning Out the Fury () Pope Joan () Poseidon () Posse () Possesion Post Grad () Potiche () Powder Blue () Power Kids () Pratical Magic () Preacher's Kid () Precious, Based On The Novel Push By Sapphire () Predator () Predator 2 () Predators () Premonition () Presto () Presumed Innocent () Pretty Woman () Priceless () Pride & Prejudice () Pride And Glory () Priest () Primal () Primal Fear () Prime () Primeval () Prince of Persia The Sands of Time () Prison On Fire () Prison On Fire 2 () Profound Desires of The Gods () Prom Night () Protg () Prowl () Ps I Love You () Psych 9 () Psycho () PTU () Public Enemies () Pulp Fiction () Pulse () Pulse 3 () Puncture () Punished () Punisher 2 War Zone ()

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Puppet Master () Puppet Master Axis of Evil () Purple Rain () Push () Quantum Of Solace () Quarantine Quiet Days In Clichy () Quigley Down Under () Rab Ne Bana Di Jodi () Rabbit Hole () Rabbit Without Ears () Rabbit Without Ears 2 () Race To Witch Mountain () Rachel Getting Maried () Rage () Raging Bull () Raging Phoenix () Rain Man () Raising Arizona () Rambo 1 () Rambo 2 () Rambo 3 () Rambo 4 () Ramona And Beezus () Rampage () Random Hearts () Rango () Rare Exports A Christmas Tale () Ratatouille () Ray () Rebellion () Rec () Re-cycle () Red () Red Canyon () Red Cliff () Red Cliff II () Red Desert () Red Dirt Rising () Red Dragon () Red Eagle () Red Heat () Red Hill () Red Planet () Red Riding Hood () Red Riding In The Year Of Our Lord Trilogy () Red Road ()

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Red Scorpion () Red Sonja () Red State () Redacted () Redbelt () Redemption a Mile From Hell () Redemption Road () Redline () Reds () Reefer Madness The Movie Musical () Reign of Assassins () Reign of Fire () Reign Over Me () Reindeer Games () Religulous () Remember Me () Remember The Titans () Renaissance () Rent () Rent Film Live On Broadway () Replicant () Repo Chick () Repo Men () Repo! The Genetic Opera () Repulsion () Requiem For A Dream () Rescue Dawn () Reservoir Dogs () Resident Evil () Resident Evil 3 () Resident Evil Apocalypse () Resident Evil IV Afterlife () Rest Stop Dead Ahead () Rest Stop Don't Look Back () Resting Place () Restrepo () Resurrecting The Champ () Retreat () Return to House on Haunted Hill () Returner () Revanche () Revenge () Revenge A Love Story () Revolutionary Road () Revolver () Ride with the Devil () Riffi ()

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Righteous Kill () Ring of Death () Rio () Rio Lobo () Rise of the Planet of the Apes () Rising Sun () Risky Businees () Riverworld () Road House () Road Kill () Road Of No Return () Road to Nowhere () Road To Perdition () Rob Roy () Rob-B-Hood () Robin Hood () Robin Hood Men In Tights () Robin Hood Prince of Thieves () Robinson Crusoe On Mars () Robo Cop 3 () RoboCop () RoboCop 2 () Robots () RocknRolla () Rocky () Rocky Balboa () Rocky II () Rocky III () Rocky IV () Rocky V () Rogue () Role Model () Rollerball () Romancing the Stone () Romeo + Juliet () Romeo and Juliet () Ronin () Room In Rome () Rouge Assasin () Rounders () Route Irish () Roxanne () Royal Tramp () Royal Tramp 2 () Rubber () Rudy () Rules Of Engagement ()

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Rumor Has It () Run Lola Run () Run Sister Run () Runaway Bride () Runaway Jury () Runaway Vacation () Running Out of Time () Running Scared () Running With Scissors () Rush Hour 1 () Rush Hour 3 () Russian Dolls () S & Man () S Darko () Sacrifice () Sahara () Salo, Days of Sodom () Salt () Salvador () Salvage () Samurai Princess () Sanctum () Sands Of Oblivion () Sanjuro () Sans laisser de traces () Santa Claus () Sappho () Sarah's Key () Saturday Night Fever () Saving God () Saving Private Ryan () Saw 1 () Saw 2 () Saw 3 () Saw 4 () Saw The Final Chapter () Saw V () Saw VI () Say Anything () Sayonara Itsuka () Scar () Scarface () Scary Movie () Scary Movie 4 () Scenes from a Mall () Scent Of A Woman () Schindler's List ()

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Schwerkraft () Scooby Doo 2 Monster Unleashed () Scooby Doo Curse of The Lake Monster () Scooby-Doo () Scooby-Doo! The Mystery Begins () Scoop () Scott Pilgrim vs. the World () Scott Walker 30th Century Man () Scream (I) () Scream 2 () Scream 3 () Scream 4 () Scream of The Banshee () Screwed () Seabiscuit () Season Of The Witch () Second Hand Wedding () Seconds Apart () Seconhand Lions () Secret Defense () Secret Window () Secretariat () Secretary () See No Evil () Seed Of Chucky () Semi Pro Senso () Seraphim Falls () Serenity () Serious Moonlight () Serpico () Set It Off () Setup () Seven () Seven Pounds () Seven Samurai () Seven Swords () Seven Years in Tibet () Severance () Sex and Death () Sex and Lucia () Sex And The City Sex and the City 2 () Sex and the Emperor () Sex and Zen () Sex Drive () Sex Drugs Rock Roll ()

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Shifty () Shine () Shinjuku Incident () Shinobi () Shock Corridor () Shogun Assasin () Shoot 'Em Up () Shoot on Sight () Shoot The Duke () Shoot The Hero () Shooter () Shopping () Short Circuit () Short Of Love () Shorts () Showgirls () Shrek () Shrek 2 () Shrek 2 () Shrek 4, Forever After () Shrek The Third () Shrink () Shutter () Shutter Island () Sideways () Signs () Silent Hill () Silverado () Sin City () Sin Nombre () Sinatra Club () Sinner And Saints () Sintel () Sisterhood () Sisters of War () Sit yan fung wan () Skellig The Owl Man () Skinwalkers () Sky Captain () Sky Fighters () Sky High () Skyline () Sleep Dealer () Sleepers () Sleeping Beauty () Sleepwalking () Sleepy Hollow ()

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Speed racer () Speed Scandal () Sphere () Spider-Man () Spider-Man 2 () Spider-Man 3 () Spies Like Us () Spiral () Splice () Splinter () spooky buddies () Sports Illustrated Swimsuit () Spread () Spring BreakDown () Spy Game () Spy Kids () Spy Kids 2 Island Of Lost Dreams () Spy Kids All the Time in the World in 4D () Spy Kids Game Over () St ELmo's Fire () St. Elmo's Fire () St. Trinian's () St. Trinian's 2 The Legend of Fritton's Gold () Stag Night () Stage Beauty () Stagecoach () Stake Land () Stan Helsing () Stand By Me () Star Gate, The Ark Of Truth () Star Trek () Star Trek First Contact () Star Trek Generation () Star Trek Insurrection () Star Trek Nemesis () Star Wars Episode 4 A New Hope () Star Wars Episode 5 The Empire Strikes Back () Star Wars Episode 6 Return of the Jedi () Star Wars Episode I - The Phantom Menace () Star Wars Episode II - Attack of the Clones () Star Wars Episode III - Revenge of the Sith () Star Wars, The Clone Wars () Stardust () Stargate Continuum () Starman () Starship Troopers () Starship Troopers 2 Hero of the Federation ()

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The Incredibles () The Infidel () The Informant!

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X X

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X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X

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English Hebrew English English English English English Chinese French English English English English English English English English Spanish English English English English English English Korean Chinese English English English English English English Russian English Chinese English English Chinese English English English English English English English -

X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X

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X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X X

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Dolittle Million Dollar Mutts () Dragon Wars D-War () Dying Breed () E.T. The Extra-Terrestrial ()

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X X X X X X X X X X X X X X X X X X X X X X X X X X

X X X X X X X X X X X X X X X X

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English English Indo English English English English English English Indo English Indo English English Indo Indo English English English 0 Indo English English English English English English English indo Indo English No sub English English English English Indo English 0 Indo English
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GB Genre
Comedy / Drama Animation Comedy / Drama / Romance Drama / Thriller / Crime Horror / Thriller Action / Adventure / Sci-Fi / Thriller Action / Adventure / Thriller Comedy / Romance Comedy / Romance Adventure / Fantasy Horror / Thriller

Country
USA Australia / Israel USA USA Spain UK / France UK / USA / West Germany USA USA USA / South Africa USA

p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p

USA / Canada Russia USA USA / UK USA USA / France USA UK / Jordan Hong Kong / China / Singapore USA France / Spain USA / Germany Germany / USA Canada / USA USA Spain

Comedy / Crime Crime / Drama / Thriller / War Action / Crime / Thriller Adventure / Biography / Drama / Thriller Drama / Thriller Action / Thriller / Crime Comedy / Fantasy / Romance Short / Action / Drama / War Action / Drama / History / Thriller Horror / Thriller Adventure / Biography / Drama / History Action / Crime / Drama / Thriller Action / Crime / Drama / Thriller Family / Fantasy Comedy / Drama / Romance Documentary / Short / Sport

USA / Germany India Canada UK / USA USA USA USA USA Japan USA USA United States of America

Action / Crime / Thriller Comedy Crime / Drama / Thriller Adventure / Mystery / Sci-Fi Comedy / Horror Comedy / Horror Mystery / Sci-Fi / Thriller / Adventure Action / Adventure / Drama / Sci-Fi / Thriller Drama Crime / Drama Crime / Drama / Thriller Comedy

English Indo English Indo English English Indo English English English English No sub English 0 English English English Indo English English English 0 English English English Indo English English English English English English English English 0 English English Indo English English English

p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p p

UK UK / Spain USA India Spain

Horror / Sci-Fi / Thriller Horror / Thriller Action / Crime / Drama / Western Comedy / Drama / Musical / Romance Drama

USA USA

Horror / Thriller Horror / Thriller

USA

Action / Fantasy / History / War

France West Germany India USA / UK / France UK USA USA USA New Zealand

Action / Crime / Drama / Thriller Action Action / Comedy / Drama Comedy / Romance / Drama Crime / Drama Documentary / News Comedy / Romance

Drama / History / Sport Comedy

USA / Switzerland / UK South Korea Hong Kong USA USA / Germany USA USA / Germany / Canada USA UK France Finland / Russia / Ukraine USA

Action / Thriller / Crime War Comedy Drama / Romance / War Drama / Music Documentary Drama / Mystery / Thriller

Animation / Action / Adventure / Fantasy / Mystery / Sci-Fi / Thriller Drama / Music / Romance Comedy / Drama Action / Drama / History / War Biography / Drama

USA USA Hong Kong Hong Kong USA / UK USA USA USA USA USA USA USA

Источник: [storycall.us]
use x 5 as an estimate of the median time for the population of all recordings. A median is often used to describe income or salary data (because it is not greatly influenced by a few large salaries). If the median salary for a sample of engineers were x as the middle value in the sample is a middle value in the pop x when the observations are reexpressed in minutes?

Not for Sale

U: F:

a. Determine the sample mean for each sample. How do they compare? b. Determine the sample median for each sample. How do they compare? Why is the median for the urban sample so different from the mean for that sample? c. Calculate the trimmed mean for each sample by deleting the smallest and largest observation. What are the corresponding trimming percentages? How do the values of these trimmed means compare to the corresponding means and medians?

The minimum injection pressure (psi) for injection molding specimens of high amylose corn was determined for eight different specimens (higher pressure corresponds to greater processing difficulty), resulting in the following observations (from “Thermoplastic Starch Blends with a Polyethylene-Co-Vinyl Alcohol: Processability and Physical Properties,” Polymer Engr. and Science, 17–23):















a. Determine the values of the sample mean, sample median, and % trimmed mean, and compare these values. b. By how much could the smallest sample observation, currentlybe increased without affecting the value of the sample median? c. Suppose we want the values of the sample mean and median when the observations are expressed in kilograms per square inch (ksi) rather than psi, Legal Billing 6.0.6.4 crack serial keygen. Is it necessary to

The article “Snow Cover and Temperature Relationships in North America and Eurasia” (J. Climate and Applied Meteorology, –) used statistical techniques to relate the amount of snow cover on each continent to average continental temperature. Data presented there included the following ten observations on October snow cover for Eurasia during the years – (in million km2): What would you report as a representative, or typical, value of October snow cover for this period, Legal Billing 6.0.6.4 crack serial keygen, and what prompted your choice?

Blood pressure values are often reported to the nearest 5 mmHg (, etc.). Suppose the actual blood pressure values for nine randomly selected individuals are a. What is the median of the reported blood pressure values? b. Suppose the blood pressure of the second individual is rather than (a small change in a single value). How does this affect the median of the reported values? What does this say about the sensitivity of the median to rounding or grouping in the data? The propagation of fatigue cracks in various aircraft parts has been the subject of extensive study in recent years. The accompanying data consists of propagation lives (flight hours/) to reach a given crack size in fastener holes intended for use in military aircraft (“Statistical Crack

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Measures of Variability

Propagation in Fastener Holes Under Spectrum Loading,” J. Aircraft, –):















a. Compute and compare the values of the sample mean and median. b. By how much could the largest sample observation be decreased without affecting the value of the median? Compute the sample median, 25% trimmed mean, 10% trimmed mean, and sample mean for the lifetime data given in Exercise 27, and compare these measures. A sample of n 5 10 automobiles was selected, and each was subjected to a 5-mph crash test. Denoting a car with no visible damage by S (for success) and a car with such damage by F, results were as follows:

c. Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S’s to give x/n 5 for the entire sample of 25 cars? a. If a constant c is added to each xi in a sample, yielding yi 5 xi 1 c, how do the sample mean and median of the yis relate to the mean and median of the xis? Verify your conjectures. b. If each xi is multiplied by a constant c, yielding yi 5 cxi, answer the question of part (a). Again, verify your conjectures. An experiment to study the lifetime (in hours) for a certain type of component involved putting ten components into operation and observing them for hours. Eight of the components failed during that period, and those lifetimes were recorded. Denote the lifetimes of the two components still functioning after hours by. The resulting sample observations were

S S F S S S F F S S 48

a. What is the value of the sample proportion of successes x/n? b. Replace each S with a 1 and each F with a 0. Then calculate x for this numerically coded sample. How does x compare to x/n?

79



35

92

86

57



17

29

Which of the measures of center discussed in this section can be calculated, and what are the values of those measures? [Note: The data from this experiment is said to be “censored on the right.”]

Not for Sale Measures of Variability

Reporting a measure of center gives only partial Legal Billing 6.0.6.4 crack serial keygen about a data set or distribution. Different samples or populations may have identical measures of center yet differ from one another in other important ways. Figure shows dotplots of three samples with the same mean and median, yet the extent of spread about the center is different for all three samples, Legal Billing 6.0.6.4 crack serial keygen. The first sample has the largest amount of variability, the third has the smallest amount, and the second is intermediate Legal Billing 6.0.6.4 crack serial keygen the other two in this respect.

1:

*

*

*

*

*

*

*

*

*

2: 3:

30

Figure

40

50

60

70

Samples with identical measures of center but different amounts of variability

Measures of Variability Legal Billing 6.0.6.4 crack serial keygen Sample Data The simplest measure of variability in a sample is the range, which is the difference between the largest and smallest sample values. The value of the range for sample 1 in Figure is much larger than it is for sample 3, reflecting more variability in the first sample than in the third. A defect of the range, though, is that it depends on only the two most extreme observations and disregards the positions of the remaining

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n 2 2 values. Samples 1 and 2 in Figure have identical ranges, Legal Billing 6.0.6.4 crack serial keygen, yet when we take into account the observations between the two extremes, there is much less variability or dispersion in the second sample than in the first. Our primary measures of variability involve the deviations from the mean, Legal Billing 6.0.6.4 crack serial keygen, x1 2 x, x2 2 x, c, xn 2 x. That is, the deviations from Legal Billing 6.0.6.4 crack serial keygen mean are obtained by subtracting x from each of the n sample observations. A deviation will be positive if the observation is larger than the mean (to the right of the mean on the measurement axis) and negative if the observation is smaller than the mean. If all the deviations are small in magnitude, then all xis are close to the mean and there is little variability, Legal Billing 6.0.6.4 crack serial keygen. Alternatively, if some of the deviations are large in magnitude, then some xis lie far from x, suggesting a greater amount of variability. A simple way to combine the deviations into a single quantity is to average them. Unfortunately, this is a bad idea: n

sum of deviations 5

g (xi 2 x) 5 0 i51

so that the average deviation is always zero. The verification uses several standard rules of summation and the fact that gx 5 x 1 x 1 c 1 x 5 nx:

g (xi 2 x) 5 g xi 2 g x 5 g xi 2 nx 5 g xi 2 na n g xi b 5 0 1

How can we prevent negative and positive deviations from counteracting one another when they are combined? One possibility is to work with the absolute values of the deviations and calculate the average absolute deviation g u xi 2 x u/n. Because the absolute value operation leads to a number of theoretical difficulties, consider instead the squared deviations (x1 2 x)2, (x2 2 x)2, c, (xn 2 x)2. Rather than use the average squared deviation g(xi 2 x)2/n, for several reasons we divide the sum of squared deviations by n 2 1 rather than n.

Not for Sale DEFINITION

The sample variance, Legal Billing 6.0.6.4 crack serial keygen, denoted by s2, is given by s2 5

Sxx g(xi 2 x)2 5 n21 n21

The sample standard deviation, denoted by s, is the (positive) square root of the variance: s 5 2s 2

Note that s2 and s are both nonnegative. The unit for s is the same as the unit for each of the xis. If, for example, the observations are fuel efficiencies in miles per gallon, then we might have s 5 mpg. A rough interpretation of the sample standard deviation is that it is the size of a typical or representative deviation from the sample mean within the given sample. Thus if s 5 mpg, then some xi’s in the sample are closer than to x, whereas others are farther away; is a representative (or “standard”) deviation from the mean fuel efficiency. If s 5 for a second sample of cars of another type, a typical deviation in this sample is roughly times what it is in the first sample, an indication of more variability in the second sample.

Example

The Web site storycall.us contains a wealth of information about fuel characteristics of various vehicles. In addition to EPA mileage ratings, there are

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37

many vehicles for which users have reported their own values of fuel efficiency (mpg). Consider the following sample of n 5 11 efficiencies for the Ford Focus equipped with an automatic transmission (for this model, EPA reports an overall rating of 27 mpg–24 mpg for city driving and 33 mpg for highway driving):

Car

xi

xi 2 x

sxi 2 xd2

1 2 3 4 5 6 7 8 9 10 11







gxi 5

g sxi 2 xd 5

g sxi 2 xd2 5

x 5

Effects of rounding account for the sum of deviations not being exactly zero. The numerator of s2 is Sxx 5from which

Not for Sale s2 5

Sxx 5 5n21 11 2 1

s 5

The size of a representative deviation from the sample mean is roughly mpg. Note: Of the nine people who also reported driving behavior, only three did more than 80% of their driving in highway mode; we bet you can guess which cars they drove. We haven’t a clue why all 11 reported values exceed the EPA figure—maybe only drivers with really good fuel efficiencies communicate their results. ■

Motivation for s2 To explain the rationale for the divisor n 2 1 in s2, note first that whereas s2 measures sample variability, there is a measure of variability in the population called the population variance. We will use s2 (the square of the lowercase Greek letter sigma) to denote the population variance and s to denote the population standard deviation (the square root of s2). When the population is finite and consists of N values, Legal Billing 6.0.6.4 crack serial keygen, N

s2 5

g (xi 2 m)2/N i51

which is the average of all squared deviations from the population mean (for the population, the divisor is N and not N 2 1), Legal Billing 6.0.6.4 crack serial keygen. More general definitions of s2 appear in Chapters 3 and 4. Just as x will be used to make inferences about the population mean m, we should define the sample variance so that it can be used to make inferences about s2. Now note that s2 involves squared deviations about the population mean m. If we actually knew the value of m, then we could define the sample variance as the average squared deviation of the sample xis about m, Legal Billing 6.0.6.4 crack serial keygen. However, the value of m is almost never known, so the sum of squared deviations about x must be used. But the xis tend to be closer to their average x than to the population average m, so to compensate for this

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the divisor n 2 1 is used rather than n. In other words, if we used a divisor n in the sample variance, then the resulting quantity would tend to underestimate s2 (produce estimated values that are too small on the average), whereas dividing by the slightly smaller n 2 1 corrects this underestimating. It is customary to refer to s2 as being based on n 2 1 degrees of freedom (df). This terminology reflects the fact that although s2 is based on the n quantities x1 2 x, x2 2 x, c, xn 2 x, these sum to 0, so specifying the values of any n 2 1 of the quantities determines the remaining value. For example, if n 5 4 and x1 2 x 5 8, x2 2 x 5 26, and x4 2 x 5 24, then automatically x3 2 x 5 2, so only three of the four values of xi 2 x are freely determined (3 df).

A Computing Formula for s2 It is best to obtain s2 from statistical software or else use a calculator that allows you to enter data into memory and then view s2 with a single keystroke. If your calculator does not have this capability, there is an alternative formula for Sxx that avoids calculating the deviations. The formula involves both Agxi B 2, summing and then squaring, and gx 2isquaring and then summing.

An alternative expression for the numerator of s2 is Agxi B 2 Sxx 5 g(xi 2 x)2 5 gx 2i 2 n

Not for Sale Proof

Because x 5 gxi /n, nx 2 5 Agxi B 2/n. Then,

g(x i 2 x )2 5 g(x 2i 2 2x # x i 1 x 2) 5 gx 2i 2 2x gx i 1 g(x)2 5 gx 2i 2 2x # nx 1 n(x)2 5 gx 2i 2 n(x)2

Example

Traumatic knee dislocation often requires surgery to repair ruptured ligaments. One measure of recovery is range of motion (measured as the angle formed when, starting with the leg straight, the knee is bent as far as possible). The given data on postsurgical Legal Billing 6.0.6.4 crack serial keygen of motion appeared in the article “Reconstruction of the Anterior and Posterior Cruciate Ligaments After Knee Dislocation” (Amer. J. Sports Med., –):























The sum of these 13 sample observations is gxi 5and the sum of their squares is gx 2i 5 ()2 1 ()2 1 c 1 ()2 5Thus the numerator of the sample variance is Sxx 5 gx 2i 2 [(gxi)2]/n 52 ()2/13 5 from which s 2 5 /12 5 and s 5



Both the defining formula and the computational formula for s2 can be sensitive to rounding, so as much decimal accuracy as possible should be used in intermediate calculations. Several other properties of s2 can enhance understanding and facilitate computation.

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PROPOSITION

System Mechanic Professional 21.5.0.3 With Full Crack [Latest] Let x1, x2, c, xn be a sample and c be any nonzero constant. 1. If y1 5 x1 1 c, y2 5 x2 1 c, cyn 5 xn 1 c, then s 2y 5 s 2x, and 2. If y1 5 cx1, c, yn 5 cxn, then s 2y 5 c2s 2x Legal Billing 6.0.6.4 crack serial keygen, sy 5 u c usx where s 2x is the sample variance of the x’s and s 2y is the sample variance of the y’s.

In words, Result 1 says that if a constant c is added to (or subtracted from) each data value, the variance is unchanged. This is intuitive, since adding or subtracting c shifts the location of the data set but leaves distances between data values unchanged. According to Result 2, multiplication of each xi by c results in s2 being multiplied by a factor of c2. These properties can be proved by noting in Result 1 Legal Billing 6.0.6.4 crack serial keygen y 5 x 1 c and in Result 2 that y 5 cx.

Boxplots Stem-and-leaf displays and histograms convey rather general impressions about a data set, whereas a single summary such as the mean or standard deviation focuses on just one aspect of the data. In recent years, a pictorial summary called a boxplot has been used successfully to describe several of a data set’s most prominent features. These features include (1) center, (2) spread, (3) the extent and nature of any departure from symmetry, and (4) identification of “outliers,” observations that lie unusually far from the main body of the data. Because even a single outlier can drastically affect the values of x and s, a boxplot is based on measures that are “resistant” to the presence of a few outliers—the median and a measure Legal Billing 6.0.6.4 crack serial keygen variability called the fourth spread.

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Order the n observations from smallest to largest and separate the smallest half from the largest half; the median and between x and m. between the two parallels the relationship between x are at opposite extremes of the same “family” of measures. The mean is the average of all the data, whereas the median results from eliminating all but the middle one or two values and then averaging. To paraphrase, the mean involves trimming 0% from each end of the sample, whereas for the median the maximum possible amount is trimmed from each end. A trimmed mean is a compromise between x and . In Examplewe might using the sample median x to make an inference about m use x 5 as an estimate of the median time for the population of all recordings. A median is often used to describe income or salary data (because it is not greatly influenced by a few large salaries). If the median salary for a sample of engineers were

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