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Chapter 1: Q15E (page 25)

Do running times of American movies differ somehow from running times of French movies? The author investigated this question by randomly selecting 25 recent movies of each type, resulting in the following

running times:

Am: 94 90 95 93 128 95 125 91 104 116 162 102 90

110 92 113 116 90 97 103 95 120 109 91 138

Fr: 123 116 90 158 122 119 125 90 96 94 137 102

105 106 95 125 122 103 96 111 81 113 128 93 92

Construct a comparativestem-and-leaf display by listing stems in the middle of your paper and then placing the Am leaves out to the left and the Fr leaves out to the right. Then comment on interesting features of thedisplay.

Short Answer

Expert verified

The stem and leaf display is shown below:

Am


Fr


8

1

157020153504

9

645632

9324

10

2563

6306

11

6913

058

12

325528

8

13

7

14

15

8

2

16


The following is observed:

The running time of both American and French movies is mostly less than 100 and 100 respectively.

The spread of running time is greater for French movies than the American .

The number of outliers exist in each case.

Step by step solution

01

Given information

The running times of American movies and of French movies are provided.

02

Construct a stem and leaf diagram

A stem-and-leaf display provides a visual representation of the dataset.

The steps to construct a stem-and-leaf display are as follows,

1) Select the leading digit for the stem and trailing digits for the leaves.

2) Represent the stem digits vertically and similarly the trailing digits corresponding to the stem digits.

3) Mention the units for the display.

The stem and leaf display for the provided scenario is,

Am


Fr

8

1

157020153504

9

645632

9324

10

2563

6306

11

6913

058

12

325528

8

13

7

14

15

8

2

16


The following is observed:

The running time of both American and French movies is mostly less than 100 and 100 respectively.

The spread of running time is greater for French movies than in American.

The number of outliers exists in each case.

From the above display, it can be concluded that there is extreme positive skewness for Am and more variability in Fr times.

The outlier that can be observed in Am is 162 and the outlier for Fr is 158.

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ED0 0 0 0 .1 .1 .1 .1 .2 .2 .3 .3

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6.1

5.8

7.8

7.1

7.2

9.2

6.6

8.3

7.0

8.3

7.8

8.1

7.4

8.5

8.9

9.8

9.7

14.1

12.6

11.2


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