TDIST Function

Excel 2007+, Excel 2010+, Excel 2013+, Excel 2016+, Excel 2019+, Excel 365+

Summary

The TDIST function calculates probability values for the Student t-distribution, essential for statistical hypothesis testing with small sample datasets. It provides the percentage points (probability) for a given t-value, serving as a digital alternative to traditional t-distribution tables.

Syntax

TDIST(x, deg_freedom, tails)

Parameters

Parameter Type Required Description
x Number Yes The t-value at which to calculate the distribution probability
deg_freedom Integer Yes Number of degrees of freedom (integer ≥ 1)
tails Integer Yes Distribution tails: 1 (one-tailed) or 2 (two-tailed)

Using the TDIST Function

TDIST is primarily used in statistical analysis for calculating p-values in t-tests. It helps determine the probability of observing a t-statistic as extreme as the one calculated from sample data under the null hypothesis.

Common TDIST Examples

Two-Tailed Distribution Example

=TDIST(1.96,60,2)

Returns approximately 0.0546 (5.46%) - probability of t-statistic ≥ 1.96 or ≤ -1.96 with 60 degrees of freedom

One-Tailed Distribution Example

=TDIST(1.96,60,1)

Returns approximately 0.0273 (2.73%) - probability of t-statistic ≥ 1.96 with 60 degrees of freedom

Frequently Asked Questions

Microsoft recommends T.DIST.2T and T.DIST.RT for improved accuracy and clearer naming, though TDIST remains available for compatibility.

TDIST returns #NUM! error. For negative values, use TDIST(-x,deg_freedom,1) = 1-TDIST(x,deg_freedom,1).

Common Errors and Solutions

#VALUE!

Cause: Non-numeric input

Solution: Ensure all arguments are numeric

#NUM!

Cause: deg_freedom < 1 or tails not 1/2 or x < 0

Solution: Verify deg_freedom ≥ 1, tails is 1 or 2, x ≥ 0

Notes

  • TDIST(x,df,1) = P(X > x)
  • TDIST(x,df,2) = P(|X| > x) = P(X > x or X < -x)
  • Function deprecated but available for backward compatibility
  • Consider T.DIST.2T for two-tailed, T.DIST.RT for right-tailed tests

Compatibility

Available in: Excel 2007+, Excel 2010+, Excel 2013+, Excel 2016+, Excel 2019+, Excel 365+

Not available in: Excel 2003 and earlier

Content last reviewed: December 9, 2025
Update frequency: As needed
Excel versions tested: Excel 2007+, Excel 2010+, Excel 2013+, Excel 2016+, Excel 2019+, Excel 365+