The sales of five salesgirls on a certain day are as follows; GH¢ 26.00, GH¢...
FURTHER MATHEMATICSWAEC 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
Correct Answer: B. GH¢ 5.66
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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