Question

Calculate the interquartile range of the data set.

{37, 46, 32, 40, 33, 40, 36, 30}
37
,

46
,

32
,

40
,

33
,

40
,

36
,

30

(1 point)
Responses

8

8

7.5

7.5

7

7

6.5

Answer 1

Sort the data: 30, 32, 33, 36, 37, 40, 40, 46.
Median = (36 + 37)/2 = 36.5.
Lower half = 30, 32, 33, 36 → Q1 = (32 + 33)/2 = 32.5.
Upper half = 37, 40, 40, 46 → Q3 = (40 + 40)/2 = 40.
IQR = Q3 − Q1 = 40 − 32.5 = 7.5.