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The following are the masses (in kg) of members in a club: 59, 44, 53,...

Mathematics
WAEC 2024

The following are the masses (in kg) of members in a club: 59, 44, 53, 49, 57, 40, 48, and 50. Calculate the variance of the distribution.

  • A. 35
  • B. 36
  • C. 40
  • D. 50
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Correct Answer: Option A
Explanation

Variance(s\(^2\)) = \(\frac{\sum{(x - \overline{x})^2}}{n}\)

But mean = 50 (from question 39 same information)

x

x - \(\overline{x}\)

(x - \(\overline{x})^2\)

59   9   81
44 - 6   36
53   3   9
57   7  49
49 - 1  1
40 -10  100
48 - 2   4
50   0   0

                                          \(\sum{(x - \overline{x})^2}\) = 280

Variance(s\(^2\)) = \(\frac{\sum{(x - \overline{x})^2}}{n}\) = \(\frac{280}{8}\) = 35


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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