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Question

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

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

47.826

The coefficient of variation (CV) is defined as the ratio of the standard deviation (σ) to the mean (μ). The formula for CV is:
CV = (σ / μ) * 100. Rearranging the formula to solve for μ:
μ = σ / (CV / 100).
Given that CV = 23 and σ = 11, we can calculate the mean as:
μ = 11 / (23 / 100) = 47.826.

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

  4. The Fisher's Index 

  5. 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:

  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:

  9. Approximately, the coefficient of variation for the given data where Pearson's second measure of skewness = 0.42, arithmetic mean = 86 and median = 80, is:


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

  4. The Fisher's Index 

  5. 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:

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