Question

These data show the number of miles each of the 9 members of a track team ran for the week.

11 11.5 10.5 17 14.5 14.5 18 17 19

What is the IQR (interquartile range) for these data?

Answer 1

The IQR is 6.25. The median, the middle of the data, is 14.5.

Answer 2

Series: 10.5, 11, 11.5, 14.5, 14.5, 17, 17, 18, 19

Middle number (5th), Median = 14.5

Q1 = 11+11.5/2 = 22.5/2 = 11.25
Q3 = 17+18/2 = 35/2 = 17.5

Interquartile range = Q3-Q1 = 17.5 - 11.25 = 6.25

In short, Your Answer would be: 6.25

Hope this helps!