Question

Co-effecient of variation of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. What are their arithmetic mean.

Answer 1

Given,

CV₁ = 60, CV₂ = 70

σ₁ = 21, σ₂ = 16

We Know,

CV = \(\frac{σ}{x}\times100\)

 \(\bar{x}=\frac{σ}{CV}\times100\)

\(\bar{x_1}=\frac{σ_1}{CV_1}\times100\)

\(=\frac{21}{60}\times100\)

= 35

and,

\(\bar{x_2}=\frac{σ_2}{CV_2}\times100\)

\(=\frac{16}{70}\times100\)

 = 22.85

∴ Their arithmetic mean are 35 and 22.85