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Find the variance of 2, 6, 8, 6, 2 and 6

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Mathematics JAMB 2001

Find the variance of 2, 6, 8, 6, 2 and 6

  • 6
  • 5 checkmark
  • √6
  • √5

The correct answer is: B

Explanation

mean of X = x = (2+6+8+6+2+6)/6 = 30/6 = 5
X → 2,6,8,6,2,6
X - x = -3, 1, 3, 1, 3, 1
(X - x)2 = 9, 1, 9, 1, 9, 1
∑(X-x) = 9+1+9+1+9+1 = 30
Variance = ∑(X-x)2/n = 30/6 = 5

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