Multiple choice

In a series of observations, coefficient of variation is $16$ and mean is $25$, find the variance

  1. $4$
  2. $8$
  3. $12$
  4. $16$
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D Correct answer
Explanation

Coefficient of Variation (CV) = (Standard Deviation / Mean) * 100. 16 = (SD / 25) * 100. SD = (16 * 25) / 100 = 4. Variance = SD^2 = 4^2 = 16.

AI explanation

The formula for the coefficient of variation is the standard deviation divided by the mean, multiplied by 100. Substituting the given values results in 16 equals the standard deviation divided by 25, multiplied by 100. Solving this equation yields a standard deviation of 4. The variance is the square of the standard deviation, so the variance is 4 squared, which equals 16.

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