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Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4,...

Mathematics
WAEC 2000

Calculate the standard deviation of the following marks; 2, 3, 6, 2, 5, 0, 4, 2

  • A. 1.5
  • B. 1.7
  • C. 1.8
  • D. 1.9
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Correct Answer: Option C
Explanation
x 2 3 6 2 5 0 4 2 24
x - \(\bar{x}\) -1 0 3 -1 2 -3 1 -1  
\((x - \bar{x})^2\) 1 0 9 1 4 9 1 1 26

Mean = \(\frac{24}{8} = 3\)

Standard deviation = \(\sqrt{\frac{26}{8}}\)

= \(\sqrt{3.25}\)

= 1.802 \(\approx\) 1.8


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