The coefficient of variation and standard deviation for a dataset are 23 and 11, then the mean is approximately equal to:
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.
Important Questions from Coefficient of Variation
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?
