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:
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.
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?In a study of two groups, the following results were obtained:
Group A | Group B | |
Sample size | 20 | 25 |
Sample mean | 22 | 23 |
Sample standard deviation | 10 | 12 |
Which of the following statements is correct?