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Find the variance of 1, 2, 0, -3, 5, -2, 4.

Further Mathematics
WAEC 2014

Find the variance of 1, 2, 0, -3, 5, -2, 4.

  • A. \(\frac{52}{7}\)
  • B. \(\frac{40}{7}\)
  • C. \(\frac{32}{7}\)
  • D. \(\frac{27}{7}\)
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Correct Answer: Option A
Explanation

Mean, \(\bar{x} = \frac{1+2+0+(-3)+5+(-2)+4}{7} = \frac{7}{7} = 1\)

\(x\) \((x - \bar{x})\) \((x - \bar{x})^{2}\)
1 0 0
2 1 1
0 -1 1
-3 -4 16
5 4 16
-2 -3 9
4 3 9
Total (n) = 7  

52

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

= \(\frac{52}{7}\)


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