Question

What is the interquartile range of this data set?

1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96
OA. 60
OB. 45
OC. 27
OD. 33
SUBMIT

Answer 1

Given:

1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96

To find:

Interquartile range ( IQR )

Solution:

First, find the median of 2 halves.

1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96

`q_(3) = 72`

`q_(1) = 12`

Then, find the difference

`= q_(3) - q_(1)`

`= 72 - 12`

`\large\boxed{\sf{IQR=60}}`

There for the interquartile range of the given data set is 60

Answer= Option A