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Find the standard deviation of the numbers 3,6,2,1,7 and 5.

Further Mathematics
WAEC 2011

Find the standard deviation of the numbers 3,6,2,1,7 and 5.

  • A. 2.00
  • B. 2.16
  • C. 2.50
  • D. 2.56
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Correct Answer: Option B
Explanation
\(x\) 3 6 2 1 7 5 Total = 24
\(x - \bar{x}\) -1 2 -2 -3 3 1  
\((x - \bar{x})^{2}\) 1 4 4 9 9 1 28

\(\bar{x} = \frac{24}{6} = 4\)

\(S.D = \sqrt{\frac{\sum (x - \bar{x})^{2}}{n}}\)

= \(\sqrt{\frac{28}{6}} = \sqrt{4.667} = 2.16\)


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