Coefficient of Variation of a Population (Statistics)

Coefficient of Variation of a Population (Statistics)

Measure of dispersion of the data of a population, equal to \(\dfrac{\textrm{σ}}{\overline{\textrm{x}}}\) where σ represents the standard deviation and \(\overline{\textrm{x}}\) 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: \(\overline{\textrm{x}}\) = 73.33
  • The standard deviation: σ ≈ 5.83
  • The coefficient of variation: \(\dfrac{\textrm{σ}}{\overline{\textrm{x}}}\) ≈ 0.079

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