Question

What is the maximum length of a whisker in a modified box plot where the median = 120, Q1 = 100, Q3 = 150, the minimum = 20, and maximum = 270? (Points : 1)

A) 50
B) 75
C)100
D)120
E)You can't compute the length, given this information.​

Answer 1

B.) 75

Explanation:

Given the following :

median = 120

Q1 = 100

Q3 = 150

minimum = 20

maximum = 270

Maximum length of a whisker =?

The interquartile range (IQR) multiplied by 1.5

The Interquartile range (IQR) :

UPPER QUARTILE (Q3) - LOWER QUARTILE (Q1)

150 - 100 = 50

MAXIMUM WHISKER LENGTH :

1.5 * INTERQUARTILE RANGE

1.5 * IQR

1.5 * 50

= 75