Coefficient of variation of the two distributions are 60% and 80% respectively, and their standard deviations are 21 and 16 respectively. Find their arithmetic means.

Question

Philoid · Accepted Answer

Given: Coefficient of variation of two distributions are 60% and 80% respectively, and their standard deviations are 21 and 16 respectively.

Need to find: Arithmetic means of the distributions.

For the first distribution,

Coefficient of variation (CV) is 60%, and the standard deviation (SD) is 21.

We know that,

⇒

For the first distribution,

Coefficient of variation (CV) is 80%, and the standard deviation (SD) is 16.

We know that,

⇒

Therefore, the arithmetic mean of 1^st distribution is 35 and the arithmetic mean of 2^nd distribution is 20.