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19 November, 18:34

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

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Answers (1)
  1. 19 November, 19:51
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    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.
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