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)
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)
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The coefficient of variation expresses the standard deviation as a percentage of the mean, helping to compare variability between different distributions.
Updated On: Nov 21, 2025
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Correct Answer: 35.71
Solution and Explanation
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%.
- \( \sigma = 5 \) (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%.
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