Bessel's correction

Dividing the sum of squared deviations by n-1 instead of n corrects the downward bias of the sample variance, so that it is an unbiased estimator of the population variance. It is used whenever variance is estimated from a sample rather than a full population.

s^2=\frac{1}{n-1}\sum_{i=1}^{n}\left(x_i-\bar{x}\right)^2

What the symbols mean

unbiased sample variance
number of observations in the sample
the i-th observed value
sample mean of the observations

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelUniversity
  • Also calledsample variance n-1 denominator, unbiased sample variance, n minus 1 variance, sample variance formula, unbiased estimator of variance, variance with n-1
  • SourceWikidata Q526938

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