F.DIST Function

Excel 2010+

Summary

The F.DIST function calculates the F probability distribution, helping you compare variance between two datasets. It's essential for statistical analysis to test if two groups have significantly different spreads or dispersions.

Syntax

F.DIST(x, deg_freedom1, deg_freedom2, cumulative)

Parameters

Parameter Type Required Description
x Number Yes The numeric value at which to evaluate the F distribution
deg_freedom1 Number Yes Numerator degrees of freedom (must be ≥ 1)
deg_freedom2 Number Yes Denominator degrees of freedom (must be ≥ 1)
cumulative Boolean Yes TRUE for cumulative distribution function, FALSE for probability density function

Using the F.DIST Function

Use F.DIST when conducting F-tests to compare variances between two populations. Set cumulative to TRUE for the area under the curve up to value x, or FALSE for the exact probability density at point x.

Common F.DIST Examples

Cumulative F Distribution

=F.DIST(15.2069, 6, 4, TRUE)

Returns 0.99 - Cumulative probability up to value 15.2069 with 6 and 4 degrees of freedom

Probability Density Function

=F.DIST(15.2069, 6, 4, FALSE)

Returns 0.0012238 - Probability density at exact value 15.2069

Variance Comparison Test

=F.DIST(VarianceRatio, df1, df2, TRUE)

Tests if two datasets have significantly different variances

Frequently Asked Questions

Returns the cumulative distribution function (area under curve from 0 to x)

Returns the probability density function (height of curve at x)

Excel truncates non-integer degrees of freedom to integers

Common Errors and Solutions

#NUM!

Cause: x is negative

Solution: Ensure x value is positive

#NUM!

Cause: deg_freedom1 or deg_freedom2 < 1

Solution: Degrees of freedom must be 1 or greater

#VALUE!

Cause: Non-numeric arguments

Solution: All parameters must be numbers or TRUE/FALSE

#NUM!

Cause: Degrees of freedom not integers

Solution: Excel truncates decimals automatically

Notes

  • If x ≤ 0, function returns 0 for cumulative=TRUE
  • Degrees of freedom truncated to integers
  • Ideal for comparing test score variability between groups
  • Use F.DIST.RT for right-tail probabilities

Compatibility

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

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

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