Problem 10SE

True or false: In any boxplot,

a. The length of the whiskers is equal to 1.5 IQR, where IQR is the interquartile range.

b. The length of the whiskers may be greater than 1.5 IQR, where IQR is the interquartile range.

c. The length of the whiskers may be less than 1.5 IQR, where IQR is the (interquartile range.

d. The values at the ends of the whiskers are always values in the data set used to construct the boxplot.

Solution:

Step 1 of 4:

- FALSE.

Whiskers are the vertical lines that extending from the top and bottom of the box. To find the whiskers we will find the largest sample value that is no more than 1.5 IQR (Interquartile range) above the third quartile , and the smallest sample value that is no more than 1.5 IQR (interquartile range) below the first quartile. Which means the length of whisker is not equal to the 1.5 IQR. But the length of whiskers is at most 1.5 IQR.