Multiple choice

If the coefficient of variation of some observation is 60 and their standard deviation is 20, then their mean is

  1. 35

  2. 34

  3. 33

  4. 33.33(nearly)
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D Correct answer
Explanation

Coefficient of variation = (Standard Deviation / Mean) * 100. 60 = (20 / Mean) * 100. Mean = 2000 / 60 = 33.33.

AI explanation

Use the formula for the coefficient of variation, which equals the standard deviation divided by the mean, all multiplied by 100. Substitute the given values to get the equation 60 equals 20 divided by the mean, multiplied by 100. Simplifying this gives 60 equals 2000 divided by the mean, so the mean is 2000 divided by 60. The result is 33.33.

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