Multiple choice

The mean and standard deviation of a sample of 100 observation was 40 and 10 respectively, then the coefficient of variation is:

  1. 4

  2. 400

  3. 10.25

  4. 25

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D Correct answer
Explanation

Coefficient of Variation (CV) = (Standard Deviation / Mean) * 100. CV = (10 / 40) * 100 = 0.25 * 100 = 25.

AI explanation

The coefficient of variation is calculated using the formula (Standard Deviation divided by Mean) multiplied by 100. Substituting the given values, we get (10 divided by 40) multiplied by 100. This simplifies to 0.25 multiplied by 100, giving a coefficient of variation of 25.