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Chapter 7: Q. 1 (page 461)

The five-number summary for a data set is given by Min=5, Q1=18, M=20, Q3=40, Max=75. If you wanted to construct a modified boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side “whisker”? (a) 33(b)35(c) 45 (d) (e) 55

Short Answer

Expert verified

The maximum possible length of the right side is option (a)33.

Step by step solution

01

Given information

Summary of the data set

Min=5

Q1=18

M=20

Q3=40

Max=75

To find the maximum length of the right side whisker.

02

Explanation

Initially, we have to find what IQRis(IQR=Q3-Q1)

IQR for this problem is 22(40-18)

The formula used to find the outliers is to multiply the IQR with 1.5

Then 22×1.5=33

33+Q3or33-Q1is the range for values

So this can be the maximum whisker length.

Option (a) 33 is correct.

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