Question

The coefficient of variation of two distribution are 60% and 70%, and their standard deviations are 21 and 16 respectively. What is their arithmetic means?

Answer 1

Here, the Coefficient of variation for the first distribution is 60 

And, Coefficient of variation for the first distribution is 70 

SD (σ₁) = 21 and SD(σ₂)= 16 

We know that, Coefficients variation = \(\frac{SD}{Mean}\times 100\) 

So, Mean \(\bar{X}=\frac{SD}{CV}\times 100\)

For first distribution

  \(\bar{X}=\frac{21}{60}\times 100\) 

Mean = 35 

For the second distribution

  \(\bar{X}=\frac{16}{70}\times 100\)  

Mean = 22.86 

Hence, Means are 35 and 22.86 .