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Question

The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is
(a) 10 %
(b) 40 %
(c) 50 %
(d) none of these

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Solution

(a) 10%

We have: X = 50, n=10 i=110xi-X 2 =250 SD=Variance of X = i=110xi-X 2n =25010 =5

Using CV=σX×100

CV =550×100 = 10%

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