Variance

Gives the average squared distance of values from their mean, measuring how spread out a data set or distribution is. For a sample, the denominator N-1 is used instead of N to get an unbiased estimate.

\sigma^2 = \frac{1}{N}\sum_{i=1}^{N}(x_i-\mu)^2

What the symbols mean

population variance
number of values in the population
the i-th value
population mean of the values

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelHigh school
  • Also calledpopulation variance, variance formula, variance of a dataset, spread of data squared deviations, statistical variance, mean squared deviation

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