Question

The mean of a distribution is 14 and standard deviation is 5. What would be the value of coefficient of variation? (round off to two decimal places)

Hint:

The coefficient of variation expresses the standard deviation as a percentage of the mean, helping to compare variability between different distributions.

Answer 1

Correct Answer: 35.71

The coefficient of variation (CV) is given by the formula: \[ \text{CV} = \frac{\sigma}{\mu} \times 100 \] where:
- \( \sigma = 5 \) (standard deviation),
- \( \mu = 14 \) (mean).
Substituting the values: \[ \text{CV} = \frac{5}{14} \times 100 = 35.71% \] Thus, the coefficient of variation is approximately 35.71%.