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Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0,...

Further Mathematics
WAEC 2007

Calculate, correct to one decimal place, the standard deviation of the numbers: -1, 5, 0, 2 and 9.

  • A. 7.2
  • B. 6.6
  • C. 3.6
  • D. 3.2
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Correct Answer: Option C
Explanation
\(x\) -1 5 0 2 9 Total = 15
\(x - \bar {x}\) -4 2 -3 -1 6  
\((x - \bar{x})^{2}\) 16 4 9 1 36 66

Mean = \(\frac{15}{5} = 3\)

SD = \(\sqrt{\frac{\sum (x - \bar {x})^{2}}{n}}\)

= \(\sqrt{\frac{66}{5}} \)

= \(\sqrt{13.2}\)

= 3.6


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