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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

User Pquest
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2 Answers

2 votes

Answer: 93

Step-by-step explanation: Apex said so

User Alfie Goodacre
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7 votes
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.
User Markus Kuhn
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