Following are summary statistics for two data sets,A and

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Problem 15E Chapter 1.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 15E

Following are summary statistics for two data sets,

A and B.

A

B

 

Minimum

0.066

-2.235

1st Quartile

1.42

5.27

Median

2.60

8.03

3rd Quartile

6.02

9.13

Maximum

10.08

10.51

a. Compute the interquartile ranges for both A and B.

b.        Do the summary statistics for A provide enough information to construct a boxplot? If so, construct the boxplot. If not, explain why.

c. Do the summary statistics for B provide enough information to construct a boxplot? If so, construct the boxplot. If not, explain why.

Step-by-Step Solution:

Answer :

Step 1 of 4 :

Given,

Summary statistics for two data sets A and B.

A

B

Minimum

0.066

-2.235

First quartile (Q1)

1.42

5.27

Median

2.6

8.03

third Quartile (Q3)

6.02

9.13

Maximum

10.08

10.51

Step 2 of 4 :

The claim is to find the Interquartile range for A and B

    Interquartile range (IQR) = third quartile - first quartile

     For dataset A

       IQR = Q3 - Q1

              = 6.02 - 1.42

              = 4.6

Therefore, IQR for A is 4.6

  For dataset B

       IQR = Q3 - Q1

              = 9.13 - 5.27

              = 3.86

Therefore, IQR for B is 3.86

Step 3 of 3

Chapter 1.3, Problem 15E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4th
Author: William Navidi
ISBN: 9780073401331

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