In the data set below, what is the interquartile range?

13 47 53 53 55 62 64 66 72

1 answer

To find the interquartile range, we first need to find the value of the first quartile (Q1) and the third quartile (Q3).

Q1 = median of the lower half of the data set = 53
Q3 = median of the upper half of the data set = 64

Interquartile Range (IQR) = Q3 - Q1
IQR = 64 - 53
IQR = 11

Therefore, the interquartile range of the data set is 11.