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Calculate the standard deviation of 30, 29, 25, 28, 32 and 24.

Further Mathematics
WAEC 2018

Calculate the standard deviation of 30, 29, 25, 28, 32 and 24.

  • A. 2.0
  • B. 2.8
  • C. 3.0
  • D. 3.2
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Correct Answer: Option B
Explanation
\(x\) \(x - \mu\) \((x - \mu)^{2}\)
24 -4 16
25 -3 9
28 0 0
29 1 1
30 2 4
32 4 16
\(\sum\) = 168   46

\(\mu = \frac{24+25+28+29+30+32}{6} = \frac{168}{8} = 28\)

\(S.D = \sqrt{\frac{\sum{(x - \mu)^{2}}}{n}} = \sqrt{\frac{46}{6}}\)

= \(\sqrt{7.67} \approxeq 2.8\)


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