If the standard deviation of a set of numbers is 3 and the arithmetic mean of these numbers is 6, what is the coefficient of variation of these numbers?

Correct option is C

​Given:

the standard deviation of a set of numbers = 3 

The arithmetic mean of these numbers = 6.

Formula used:

Coefficient of Variation (CV) = $$\frac{σ}{μ}\times100$$

Where:
σ is the standard deviation
μ is the mean of the numbers

Solution:

Standard deviation (σ) = 3

Mean (μ) = 6​​​​

​​​Coefficient of Variation (CV) = $$\frac{3}{6}\times100$$

​Coefficient of Variation (CV) = $$\frac{1}{2}\times100$$

​Coefficient of Variation (CV) = 50%

Hence, option (c) is correct.