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# Following are summary statistics for two data sets,A and ISBN: 9780073401331 38

## Solution for problem 15E Chapter 1.3

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:

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

##### ISBN: 9780073401331

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