# Wolfram Language & System 10.4 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# ChiSquareDistribution

represents a distribution with ν degrees of freedom.

## DetailsDetails

• The probability density for value in a distribution is proportional to for , and is zero for . »
• For integer ν, the distribution with ν degrees of freedom gives the distribution of sums of squares of ν values independently sampled from a normal distribution.
• ChiSquareDistribution allows ν to be any positive real number.
• ChiSquareDistribution allows ν to be a dimensionless quantity. »
• ChiSquareDistribution can be used with such functions as Mean, CDF, and RandomVariate. »

## ExamplesExamplesopen allclose all

### Basic Examples  (4)Basic Examples  (4)

Probability density function:

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Cumulative distribution function:

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Mean and variance:

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Median:

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