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Question

If the mean of 50 observations is 40 and the standard deviation is 8, then what is the coefficient of variation?

This question was previously asked in
NDA 2 2026 GAT Question Paper (13-Sep-2026)
The correct answer is

20%

The coefficient of variation is given by \(CV = \dfrac{\sigma}{\bar{x}} \times 100\). Substituting the given values, \(CV = \dfrac{8}{40}\times 100 = 20\%\).

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Similar Questions

  1. If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?

  2. Consider the following statements:

    1. Coefficient of variation depends on the unit of measurement of the variable.

    2. Range is measure of dispersion.

    3. Mean deviation is least when measured about median.

    Which of the above statements are correct?

Important Questions from Coefficient of Variation

  1. The coefficient of kurtosis (β2) of standard normal distribution is equal to:

  2. Half of the difference between the 75th percentile and 25th percentile is called:

  3. The coefficient of variation and standard deviation for a dataset are 23 and 11, then the mean is approximately equal to:

  4. What is the value of the z-score for x = 125 if population mean and variance are 121 and 4 respectively?

  5. The Fisher's Index 

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