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Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

Mathematics
JAMB 2024

Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8

  • A. \(\sqrt{2}\)
  • B. \(\sqrt{3}\)
  • C. 2
  • D. 3
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Correct Answer: Option A
Explanation

mean = \(\frac{ 4 + 5 + 6 + 7 + 8}{5}\) = 6

x - mean (x - mean)\(^2\)
4 4 - 6 = -2 4
5 5 - 6 = -1 1
6 6 - 6 = 0 0
7 7 - 6 = 1 1
8 8 - 6 = 2  4

Variance = \(\frac{10}{5}\)

S.D = \(\sqrt{variance}\) = \(\sqrt{2}\)

There is an explanation video available below.


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Explanation Video

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