Answer to Question #146286 in Statistics and Probability for Dan

Question

Give that the variance of a set of scores is 100 and the coefficient of variation is 20%, determine the mean for the scores
a.50
b.500
c.20
d.200

Answer 1

$$coefficient\ of\ variation=\dfrac{\sigma}{\bar{x}}$$

Then

$$\bar{x}=\dfrac{\sigma}{coefficient\ of\ variation}=$$

$$=\dfrac{\sqrt{100}}{0.2}=50$$

a.50