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torihumphries12 torihumphries12
  • 20-05-2016
  • Mathematics
Answered

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?

A49
B83
C93
D29

Verified Answer :

meerkat18
meerkat18 meerkat18
  • 28-05-2016

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.

Answer Link
auntkim auntkim
  • 22-09-2020

Answer: 93

Step-by-step explanation: Apex said so

Answer Link

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