# F.INV function: Description, Usage, Syntax, Examples and Explanation

## What is F.INV function in Excel?

F.INV function is one of Statistical functions in Microsoft Excel that returns the inverse of the F probability distribution. If p = F.DIST(x,…), then F.INV(p,…) = x. The F distribution can be used in an F-test that compares the degree of variability in two data sets. For example, you can analyze income distributions in the United States and Canada to determine whether the two countries have a similar degree of income diversity.

## Syntax of F.INV function

F.INV(probability,deg_freedom1,deg_freedom2)

The F.INV function syntax has the following arguments:

• Probability     Required. A probability associated with the F cumulative distribution.
• Deg_freedom1     Required. The numerator degrees of freedom.
• Deg_freedom2     Required. The denominator degrees of freedom.

## F.INV formula explanation

• If any argument is nonnumeric, F.INV returns the #VALUE! error value.
• If probability < 0 or probability > 1, F.INV returns the #NUM! error value.
• If deg_freedom1 or deg_freedom2 is not an integer, it is truncated.
• If deg_freedom1 < 1, or deg_freedom2 < 1, F.INV returns the #NUM! error value.

## Example of F.INV function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

 Data Description 0.01 Probability associated with the F cumulative distribution 6 Numerator degrees of freedom 4 Denominator degrees of freedom Formula Description Result =F.INV(A2,A3,A4) Inverse of the F probability distribution for the terms above 0.10930991