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The sales of five salesgirls on a certain day are as follows; GH¢ 26.00, GH¢ 39.00, GH¢ 33.00, GH¢...

Further Mathematics
WAEC 2013

The sales of five salesgirls on a certain day are as follows; GH¢ 26.00, GH¢ 39.00, GH¢ 33.00, GH¢ 25.00 and GH¢ 37.00. Calculate the standard deviation if the mean sale is GH¢ 32.00. 

  • A. GH¢ 5.65
  • B. GH¢ 5.66
  • C. GH¢ 6.5
  • D. GH¢ 6.56
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Correct Answer: Option B
Explanation
\(x\) \(x - \bar{x}\) \((x - \bar{x})^{2}\)

26.00

-6 36
39.00 7 49
33.00 1 1
25.00 -7 49
37.00 5 25
    \(\sum (x - \bar{x})^{2}\)=160

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

\(S.D = \sqrt{\frac{160}{5}} = \sqrt{32}\)

= \(GH¢ 5.656 \approxeq GH¢ 5.66\)


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