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
Correct Answer: B. 2.16
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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