ERF.PRECISE Function

Excel 2010+

Summary

The ERF.PRECISE function calculates the error function integrated between 0 and a specified lower bound value. This advanced statistical function is essential for probability calculations, heat conduction analysis, and other scientific applications requiring precise error function values.

Syntax

ERF.PRECISE(x)

Parameters

Parameter Type Required Description
x Number Yes Lower bound for integrating the error function. Must be a numeric value.

Using the ERF.PRECISE Function

ERF.PRECISE returns the value of the error function integrated between 0 and x. The error function is a special function used extensively in probability, statistics, and physics. It appears in the solutions of heat conduction problems, diffusion problems, and in the cumulative distribution function of the normal distribution.

Common ERF.PRECISE Examples

Basic ERF.PRECISE Calculation

=ERF.PRECISE(0.745)

Returns the error function value integrated between 0 and 0.745, resulting in approximately 0.7079.

Standard Normal Distribution Point

=ERF.PRECISE(1)

Calculates error function at x=1 (integrated between 0 and 1), yielding approximately 0.8427.

Frequently Asked Questions

It computes the error function integrated from 0 to x, which is fundamental in probability theory and appears in the normal distribution CDF.

ERF.PRECISE returns a #VALUE! error if the x argument is non-numeric.

Common Errors and Solutions

#VALUE!

Cause: The x argument contains non-numeric data

Solution: Ensure the x value is a valid number

Notes

  • ERF.PRECISE always integrates from 0 to x (no upper limit parameter)
  • The error function erf(x) approaches 1 as x goes to infinity and -1 as x goes to negative infinity
  • Use in combination with NORM.DIST for advanced statistical analysis
  • Excel 2010+ only - use ERF for older versions with two parameters

Compatibility

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

Not available in: Excel 2007 and earlier

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