Statistics

Variance

Arithmetic mean of the squares of the deviations of a statistical variable in relationship the arithmetic mean of the distribution.

Formulas

  • In the case of an entire population, the variance is obtained by applying this formula: [latex]\dfrac {\sum \left( x_{i}-\mu \right) ^{2}} {N}[/latex] In which μ represents the arithmetic mean of the distribution and [latex]N[/latex] represents the number of data in this population.
  • In the case of a sample of this distribution, the variance is obtained by applying this formula: [latex]\dfrac {\sum \left( x_{i}-\overline {x}\right) ^{2}} {n-1}[/latex]In which [latex]\overline {x}[/latex] represents the mean of the data in the sample and [latex]n[/latex] represents the number of data considered.

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