The first quartile of a data set is 51, and the third quartile is 67. Which of these values in the data set is an outlier?

A. 49

B. 83

C. 93

D. 29

Given:

Quartile 1 = 51

Quartile 3 = 67

Interquartile range = Q₃ - Q₁

IQR = 67 - 51

IQR = 16

Inner fence of the data set:

16 x 1.5 = 24

67 + 24 = 91

51 - 24 = 27

Boundaries of inner fence are 27 and 91

16 x 3 = 48

67 + 48 = 115

51 - 48 = 3

Boundaries for outer fence are 3 and 115

C. 93 is an outlier. It is a minor outlier based on the boundaries of the inner fence.