Question

The coefficient of variation is a relative measure of variability. It measures the

• A. Mode, mean
• B. Standard deviation, mean
• C. Quartile, Variance
• D. Standard deviation, median

Hint:

Coefficient of variation is calculated as \(CV=\frac{\sigma}{\bar{X}}\times100\). It compares standard deviation with mean.

Answer 1

The Correct Option is B

Concept: Coefficient of variation is a relative measure of dispersion. It compares standard deviation with the mean.

Step 1: Write the formula of coefficient of variation.
\[ CV = \frac{\sigma}{\bar{X}} \times 100 \] where, \[ \sigma = \text{Standard deviation} \] \[ \bar{X} = \text{Mean} \]

Step 2: Understand what it measures.
Coefficient of variation measures standard deviation relative to the mean. It is useful for comparing variability of two or more series with different units or different averages.

Step 3: Select the correct pair.
Since coefficient of variation is based on standard deviation and mean, the correct blanks are: \[ \text{Standard deviation, mean} \] Therefore, the correct answer is Standard deviation, mean.