Multiple choice

For a set of 100 observations taking assumed mean as 4, the sum of the deviations is -11 cm and the sum of squares of these deviations is 257 cm2. Find the coefficient of variation.

  1. 41.13%

  2. 14.13%

  3. 25.13%

  4. 52.13%
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A Correct answer
Explanation

N=100, A=4, Sum(d)=-11, Sum(d^2)=257. Mean = A + Sum(d)/N = 4 - 0.11 = 3.89. Variance = Sum(d^2)/N - (Sum(d)/N)^2 = 2.57 - (-0.11)^2 = 2.57 - 0.0121 = 2.5579. SD = sqrt(2.5579) = 1.599. CV = (SD/Mean)*100 = (1.599/3.89)*100 = 41.105%. Matches 41.13%.

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