Question

For a dataset, if the coefficient of variation is 25 and the mean is 44, find the variance.

• A. \( 11 \)
• B. \( 121 \)
• C. \( 110 \)
• D. \( 19 \)

Hint:

Variance is obtained by squaring the standard deviation.

Answer 1

The Correct Option is B

Step 1: Formula for Coefficient of Variation
\[ CV = \frac{\sigma}{\mu} \times 100 \] Substituting values: \[ 25 = \frac{\sigma}{44} \times 100 \] \[ \sigma = \frac{25 \times 44}{100} = 11 \] Step 2: Finding Variance
\[ \text{Variance} = \sigma^2 = 11^2 = 121 \] Thus, the correct answer is \( 121 \).