The χ²pdf( Command

Command Summary

Evaluates the χ² probability density function at a point.

Command Syntax

χ²pdf(x, df

Menu Location


  1. 2ND DISTR to access the distribution menu
  2. 6 to select χ²pdf(, or use arrows.

Press 7 instead of 6 on a TI-84+/SE with OS 2.30 or higher.

Calculator Compatibility


Token Size

2 bytes

χ²pdf( is the χ² probability density function.

Since the χ² distribution is continuous, the value of χ²pdf( doesn't represent an actual probability — in fact, one of the only uses for this command is to draw a graph of the χ² curve. You could also use it for various calculus purposes, such as finding inflection points.

The command takes two arguments: the value at which to evaluate the p.d.f., and df, the number of 'degrees of freedom'.


The value of χ²pdf( is given by

\begin{align} \definecolor{darkgreen}{rgb}{0.90,0.91,0.859}\pagecolor{darkgreen} \operatorname{\chi^2pdf}(x,k)=\frac{(1/2)^{k/2}}{(k/2-1)!}\,x^{k/2-1}e^{-x/2} \end{align}

Related Commands


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