Question

Coefficient of variation (Cv) is defined as a. Absolute value of mean / Standard deviation b. Standard deviation / Absolute value of mean c. Absolute value of mean * Standard deviation d. None of the above

Answer 1

Answer:

Coefficient of variation (Cv) is defined as option b. Standard deviation / Absolute value of mean

Explanation:

Coefficient of variation (Cv) is defined as the ratio of the standard deviation to the mean.

Mean of a sample is given by,

μ = ∑x/n

standard deviation is given by,

σ = √[∑(x-μ)²]/[n-1]

Then the Coefficient of variation (Cv) is calculated as ,

Cv = σ/μ

It is generally expressed as percentage.

Answer 2

Coefficient of variation (Cv) is defined as Standard deviation / Absolute value of mean.

When coefficient of variation is higher then it mainly have greater level of dispersion around the mean.

This would mainly give the superior aspects for expressed as a percentage.

With lower value of the coefficient in variation having the precise the estimate and mainly gives adequate facilities.