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Sarkari MCQs Government Exam Question Bank
Question no. 93293

With a mean of 25 and standard deviation of 5, the C.V (Coefficient of variation) is_______________?

Select your answer for: With a mean of 25 and standard deviation of 5, the C.V (Coefficient of variation) is_______________?
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Answer: C. 20%

Explanation

Dividing the standard deviation of five by the mean of twenty-five yields zero point two. Multiplying the resulting decimal of zero point two by one hundred percent gives twenty percent. The coefficient of variation formula standardizes dispersion relative to the mean for comparison purposes. Coefficient of variation expresses standard deviation as a percentage of the arithmetic mean of the data. Relative measures like this allow statisticians to compare variability between datasets with different units or scales. Standard deviation measures absolute spread, whereas coefficient of variation provides a dimensionless relative measure.

Option 100% would require the standard deviation to equal the mean, which is not true in this case. Option 25% miscalculates the proportion by inverting the mean and standard deviation values in the formula. Option None of these is incorrect because twenty percent is listed as option C in the choices.

Subject
Mathematics
Category
Statistics
Topic
—
Difficulty
medium

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