Multiple choice

The sum of the squares of the deviations from mean of 10 observations is 250. Mean of the data is 10. Find the coefficient of variation.

  1. 10%

  2. 25%

  3. 50%

  4. 0%
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C Correct answer
Explanation

Variance = (Sum of squares of deviations) / N = 250 / 10 = 25. Standard deviation = sqrt(25) = 5. Coefficient of variation = (Standard deviation / Mean) * 100 = (5 / 10) * 100 = 50%.

AI explanation

The variance is calculated as the sum of the squared deviations divided by the number of observations, which is 250 divided by 10, equaling 25. The standard deviation is the square root of the variance, so the standard deviation is 5. The coefficient of variation formula is (Standard Deviation / Mean) * 100, which gives (5 / 10) * 100 = 50%.

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