CHISQ.DIST Function

Excel 2010+

Summary

The CHISQ.DIST function calculates the chi-squared distribution, essential for statistical analysis of variance across samples. It supports both cumulative distribution (CDF) and probability density (PDF) calculations based on the cumulative parameter.

Syntax

CHISQ.DIST(x,deg_freedom,cumulative)

Parameters

Parameter Type Required Description
x Number Yes The value at which to evaluate the distribution (x ≥ 0)
deg_freedom Integer Yes Degrees of freedom (integer from 1 to 10^10)
cumulative Boolean Yes TRUE returns CDF, FALSE returns PDF

Using the CHISQ.DIST Function

CHISQ.DIST is used in hypothesis testing, goodness-of-fit tests, and confidence interval calculations for categorical data analysis. Set cumulative to TRUE for left-tail probabilities or FALSE for exact density at a point.

Common CHISQ.DIST Examples

Cumulative Distribution Example

=CHISQ.DIST(0.5,1,TRUE)

Returns 0.5205 - Cumulative probability for x=0.5 with 1 degree of freedom (left-tail area)

Probability Density Example

=CHISQ.DIST(2,3,FALSE)

Returns 0.2076 - Probability density at x=2 with 3 degrees of freedom

Frequently Asked Questions

CHISQ.DIST provides both CDF (cumulative=TRUE) and PDF (cumulative=FALSE). CHISQ.DIST.RT returns only right-tail probability (1-CDF).

Degrees of freedom are truncated to integers automatically.

Common Errors and Solutions

#VALUE!

Cause: Non-numeric input for any argument

Solution: Ensure all arguments are numbers or valid references

#NUM!

Cause: x < 0 or deg_freedom < 1 or deg_freedom > 10^10

Solution: Use x ≥ 0 and 1 ≤ deg_freedom ≤ 10^10

Notes

  • If deg_freedom is not an integer, Excel truncates it automatically
  • Maximum deg_freedom is 10^10
  • x must be non-negative
  • Perfect companion to CHISQ.DIST.RT for complete chi-square analysis

Compatibility

Available in: Excel 2010, Excel 2013, Excel 2016, Excel 2019, Excel 2021, Microsoft 365

Not available in: Excel 2007, Excel 2003, Earlier versions

Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2010+