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Returns the Student's left-tailed t-distribution. The t-distribution is used in the hypothesis testing of small sample data sets. Use this function in place of a table of critical values for the t-distribution.

## Syntax

T.DIST(x,deg_freedom, cumulative)

The T.DIST function syntax has the following arguments:

• X     Required. The numeric value at which to evaluate the distribution

• Deg_freedom     Required. An integer indicating the number of degrees of freedom.

• Cumulative     Required. A logical value that determines the form of the function. If cumulative is TRUE, T.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function.

## Remarks

• If any argument is nonnumeric, T.DIST returns the #VALUE! error value.

• If deg_freedom < 1, T.DIST returns an error value. Deg_freedom needs to be at least 1.

## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

 Formula Description Result =T.DIST(60,1,TRUE) Student's left-tailed t-distribution for 60, returned as the cumulative distribution function, using 1 degree of freedom. 0.99469533 =T.DIST(8,3,FALSE) Student's left-tailed t-distribution for 8, returned as the probability density function, using 3 degrees of freedom. 0.00073691

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