Multiple choice

If the coefficient of variation (CV) of a data set is 20% and the mean is 50, what is the standard deviation?

  1. 5

  2. 10

  3. 15

  4. 20
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B Correct answer
Explanation

CV = (Standard Deviation / Mean) * 100. 20 = (SD / 50) * 100 => 20 = 2 * SD => SD = 10.

AI explanation

The formula connecting the coefficient of variation, standard deviation, and mean is CV equals standard deviation divided by mean, multiplied by 100. Substituting the given values gives 20 equals standard deviation divided by 50, multiplied by 100. Solving this equation yields a standard deviation of 10.

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