Coefficient of Variation of a Population (Statistics)

Measure of dispersion of the data of a population, equal to [latex]\dfrac{\textrm{σ}}{\overline{\textrm{x}}}[/latex] where σ represents the standard deviation and [latex]\overline{\textrm{x}}[/latex] represents the mean of the data series.

Example

Distribution of people based on their mass
Mass (in kg)	Frequency
[55, 65[	10
[65, 75[	12
[75, 85[	8
[85, 95[	4
[95, 105[	2
Total	36

In this distribution of grouped data, we have:

The mean: [latex]\overline{\textrm{x}}[/latex] = 73.33
The standard deviation: σ ≈ 5.83
The coefficient of variation: [latex]\dfrac{\textrm{σ}}{\overline{\textrm{x}}}[/latex] ≈ 0.079

Coefficient of Variation of a Population (Statistics)

Example

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