Variance definition

The variance of a random variable is the expected value of the squared difference between the variable and its mean. It measures how widely the values of the variable spread around the average.

\operatorname{Var}(X) = E\left(\left(X - E(X)\right)^2\right)

What the symbols mean

random variable
expected value (expectation) operator
variance of X, written V(X) in some texts

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelUniversity
  • Also calledvariance of a random variable, expected squared deviation from the mean, variance formula, second central moment, var(X) definition, spread of a distribution
  • SourceWikidata Q175199

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