If the mean of 50 observations is 40 and the standard deviation is 8, then what is the coefficient of variation?
20%
The coefficient of variation is given by \(CV = \dfrac{\sigma}{\bar{x}} \times 100\). Substituting the given values, \(CV = \dfrac{8}{40}\times 100 = 20\%\).
Similar Questions
If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?
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
What is the value of the z-score for x = 125 if population mean and variance are 121 and 4 respectively?
The Fisher's Index
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:
If Arithmetic mean and coefficient of variation of x are 10 and 40 respectively, then the variance of y = 10 - 2x is:
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:
