Question

What is the interquartile range (IQR) of the following data set?

=D
19, 4, 17, 3, 6, 5,5, 3, 11, 12, 3, 7, 15, 8, 8, 10,5, 3, 12, 4
1
36

A: 17
B: 5
C: 8
D: 7.5

Answer 1

9

Explanation:

Arrange data set

19, 4, 17, 3, 6, 5,5, 3, 11, 12, 3, 7, 15, 8, 8, 10,5, 3, 12, 41, 36

in ascending order

3, 3, 3, 3, 4, 5, 5, 5, 6, 7, 8, 8, 10, 11, 12, 12, 15, 17, 19, 36, 41

The median is
`Q_2=8`

`Q_1=(4+5)/(2)=4.5`

`Q_3=(12+15)/(2)=13.5`

Thus, the interquartile range is

`Q_3-Q_1=13.5-4.5=9`