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

Respuesta :

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

[tex]q_{3} = 72[/tex]

[tex]q_{1} = 12[/tex]

Then, find the difference

[tex] = q_{3} - q_{1}[/tex]

[tex] = 72 - 12[/tex]

[tex]\large\boxed{\sf{IQR=60}}[/tex]

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

Answer= Option A