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Question

If x i| f i, i = 1, 2 … n is a frequency distribution with standard deviation 15 and mean 30, the coefficient of variation will be equals to:

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

50

The coefficient of variation expresses the standard deviation as a percentage of the mean:

\[CV=\frac{\sigma}{\bar x}\times 100\]

Substituting \(\sigma=15\) and \(\bar x=30\):

\[CV=\frac{15}{30}\times 100=50\]

Therefore CV = 50.

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Similar Questions

  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 

  6. If Arithmetic mean and coefficient of variation of x are 10 and 40 respectively, then the variance of y = 10 - 2x is:

  7. For the study purpose, the mean of the observations is 148 gm and standard deviation is 17.4 gm. Approximately, the coefficient of variation equals to:

  8. For the recorded observation, the coefficient of variation is 20 and the variance is 16. The arithmetic mean is:

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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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