Question:
For a dataset, if the coefficient of variation is 25 and the mean is 44, find the variance.
For a dataset, if the coefficient of variation is 25 and the mean is 44, find the variance.
Show Hint
Variance is obtained by squaring the standard deviation.
Updated On: Mar 18, 2026
- \( 11 \)
- \( 121 \)
- \( 110 \)
- \( 19 \)
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The Correct Option is B
Solution and Explanation
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 \( 121 \).
\[ CV = \frac{\sigma}{\mu} \times 100 \] 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 \( 121 \).
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