Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.

QUESTION

# What is the interquartile range of the data set: 9, 30, 2, 48, 42, 18, 81, 5, 55, 73, 11?

Interquartile range is 46

Interquartile range measures variability, based on difference between third quartile and first quartile. It is defined as Q_3-Q_1.

To find first and third quartile, we should first arrange the data {9,30,2,48,42,18,81,5,55,73,11} in increasing order which is as follows.

{2,5,9,11,18,30,42,48,55,73,81}

As there are 11 data points, Q_1 is (11+1)/4 or 3^(rd) data point i.e. 9.

and (11+1)xx3/4=9^(th) data point i.e. 55

Hence Interquartile range is 55-9=46