If the coefficient of variation is 40% and the mean is 70, then the variance is
A) 28.
B) 2800.
C) 1.75.
D) 784.

Question

Quizplus · Accepted Answer

The coefficient of variation is defined as the standard deviation divided by the mean, expressed as a percentage. Given a coefficient of variation of 40% and a mean of 70, we can find the standard deviation as follows: $0.40 = \frac{\sigma}{70}$, solving for $\sigma$ gives $\sigma = 28$. The variance is the square of the standard deviation, so $28^2 = 784$.

If the Coefficient of Variation Is 40% and the Mean