If the value of standard deviation is 3 and that of arithmetic mean is 9 then find the value of coefficient of variation :

The coefficient of variation (CV) is a measure of relative variability and is calculated as the ratio of the standard deviation (σ) to the mean (μ), expressed as a percentage.

Standard deviation (σ) = 3

Arithmetic mean (μ) = 9

Coefficient of Variation (CV) = (σ / μ) * 100

Substitute the given values into the formula:

CV = (3 / 9) * 100

CV = 0.333 * 100

CV = 33.33%

So, the coefficient of variation is 33.33%. (Option B)