Question

Find the interquartile range of the given dataset.

11, 13, 22, 17, 14, 21, 27, 15

(1 point)
Responses

21.5
21.5

8
8

6.5
6.5

13.5
13.5

Answer 1

First sort: 11, 13, 14, 15, 17, 21, 22, 27.
Lower half (first 4): 11, 13, 14, 15 → Q1 = (13+14)/2 = 13.5.
Upper half (last 4): 17, 21, 22, 27 → Q3 = (21+22)/2 = 21.5.
IQR = Q3 − Q1 = 21.5 − 13.5 = 8.