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Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and...

Mathematics
JAMB 2002

Calculate the mean deviation of the set of numbers 7, 3, 14, 9, 7, and 8.

  • A. 13/6
  • B. 5/2
  • C. 7/6
  • D. 7/3
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Correct Answer: Option D
Explanation
x 7 3 14 9 7 8 Total
\(x - \bar{x}\) -1 -5 6 1 -1 0  
\(|x - \bar{x}|\) 1 5 6 1 1 0 14

Mean : \(\frac{7 + 3 + 14 + 9 + 7 + 8}{6} = \frac{48}{6} = 8\)

Mean deviation : \(\frac{\sum |x - \bar{x}|}{n} = \frac{14}{6} = \frac{7}{3}\)

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