Question

The data set represents the number of rings each person in a room is wearing.

0, 2, 4, 0, 2, 3, 2, 8, 6

What is the interquartile range of the data?

Answer 1

(C) 4

Explanation:

♥☺

Answer 2

Answer: 4

Explanation:

First arrange the given data in ascending order :-

`0,0,2,2,2,3,4,6,8`

Number of terms = 9

Second quartile =Median=
`(9+1)/(2)=5^(th)\ term=2`

Now, the first quartile
`Q_1`=The median for the lower half of data

= Mean of 2nd term and 3rd term

`=(0+2)/(2)=1`

The third quartile
`Q_3`=The median for the upper half of data

= Mean of 7th term and 8th term

`=(2+8)/(2)=5`

Now, Interquartile range =
`Q_3-Q_1=5-1=4`

Hence, the interquartile range of the data =4.