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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 鈥渨hisker鈥�? (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脳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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