A distribution has a coefficient of variation of 65 percent and mean of 74. What is the value of the standard deviation?
A) 0.65
B) 4810
C) 113.8
D) 48.1

Question

Quizplus · Accepted Answer

The coefficient of variation (CV) is defined as the ratio of the standard deviation (σ) to the mean (μ), expressed as a percentage. The formula for CV is CV = (σ/μ) * 100. Given a CV of 65% and a mean of 74, we can rearrange the formula to solve for the standard deviation: σ = (CV/100) * μ = (65/100) * 74 = 48.1.

A Distribution Has a Coefficient of Variation of 65 Percent