Skip to main content

Excel ERF Function

The ERF function returns the error function integrated between lower_limit and upper_limit.

erf function 5


Syntax

=ERF (lower_limit, [upper_limit])


Arguments

  • Lower_limit (required): The lower limit of integration.
  • Upper_limit (optional): The upper limit of integration. If omitted, the integration between 0 and the lower_limit will be returned.

Return value

The ERF function returns a numeric value.


Function notes

  1. The ERF function has been improved in Excel 2010 so that it can calculate negative values.
    In Excel 2007, the ERF function only accepts positive values. If any of the supplied arguments are negative values, the ERF function will return the #NUM! error value.
  2. The #VALUE! error value occurs if any of the supplied arguments are non-numeric.
  3. When the upper_limit is omitted, ERF integrates between zero (as the lower_limit value) and the lower_limit (as the upper_limit value). Therefore, when the lower_limit is positive, ERF returns a positive result. Vice versa.
    What's more, when the lower_limit is greater than the upper_limit, ERF returns a negative result. Vice versa.
  4. The resulting range returned by the ERF function is between -1 and 1.
  5. The equation of the Error function is:

    erf function 2


Examples

Example One: Result Without Upper Limit

In this case, we want to calculate the Error Function when the upper_limit argument is omitted. That means the ERF function integrates between zero and the lower_limit. Please do as follows.

1. Please copy the formula below into cell E5, then press the Enter key to get the result.

=ERF (B5)

2.Select this result cell and drag its autofill handle down to get the rest of the results.

erf function 3

Notes:

  1. As the above screenshot shows, when the only argument lower_limit is negative, the returned result is also negative. Vice versa.
  2. When the only argument lower_limit is zero (0), ERF returns zero (0) as the result.
  3. The argument in each of the above formulas is supplied as a cell reference containing a numeric value.
  4. We can also directly input a value in the formula. For example, the formula in cell E5 can be changed to:

    =ERF (-1)

Example Two: Result with Upper Limit

In this case, we want to calculate the Error Function when both the lower_limit and the upper_limit arguments are provided. Please do as follows.

1. Please copy the formula below into cell F5, then press the Enter key to get the result.

=ERF (B5, C5)

2.Select this result cell and drag its autofill handle down to get the rest of the results.

erf function 4

Notes:

  1. As the above screenshot shows, when the upper_limit is greater than the lower_limit, ERF returns a positive result. Vice versa.
  2. The arguments in each of the above formulas are supplied as cell references containing numeric values.
  3. We can also directly input values in the formula. For example, the formula in cell F5 can be changed to:

    =ERF (-1, 0)

Relative Functions:

  • Excel EVEN Function
    The EVEN function rounds numbers away from zero to the nearest even integer.

  • Excel EXP Function
    The EXP function returns the result of the constant e raised to the nth power.


The Best Office Productivity Tools

Kutools for Excel - Helps You To Stand Out From Crowd

🤖 Kutools AI Aide: Revolutionize data analysis based on: Intelligent Execution   |  Generate Code  |  Create Custom Formulas  |  Analyze Data and Generate Charts  |  Invoke Kutools Functions…
Popular Features: Find, Highlight or Identify Duplicates  |  Delete Blank Rows  |  Combine Columns or Cells without Losing Data  |  Round without Formula ...
Super VLookup: Multiple Criteria  |  Multiple Value  |  Across Multi-Sheets  |  Fuzzy Lookup...
Adv. Drop-down List: Easy Drop Down List  |  Dependent Drop Down List  |  Multi-select Drop Down List...
Column Manager: Add a Specific Number of Columns  |  Move Columns  |  Toggle Visibility Status of Hidden Columns  Compare Columns to Select Same & Different Cells ...
Featured Features: Grid Focus  |  Design View  |  Big Formula Bar  |  Workbook & Sheet Manager | Resource Library (Auto Text)  |  Date Picker  |  Combine Worksheets  |  Encrypt/Decrypt Cells  |  Send Emails by List  |  Super Filter  |  Special Filter (filter bold/italic/strikethrough...) ...
Top 15 Toolsets12 Text Tools (Add Text, Remove Characters ...)  |  50+ Chart Types (Gantt Chart ...)  |  40+ Practical Formulas (Calculate age based on birthday ...)  |  19 Insertion Tools (Insert QR Code, Insert Picture from Path ...)  |  12 Conversion Tools (Numbers to Words, Currency Conversion ...)  |  7 Merge & Split Tools (Advanced Combine Rows, Split Excel Cells ...)  |  ... and more

Kutools for Excel Boasts Over 300 Features, Ensuring That What You Need is Just A Click Away...

Description


Office Tab - Enable Tabbed Reading and Editing in Microsoft Office (include Excel)

  • One second to switch between dozens of open documents!
  • Reduce hundreds of mouse clicks for you every day, say goodbye to mouse hand.
  • Increases your productivity by 50% when viewing and editing multiple documents.
  • Brings Efficient Tabs to Office (include Excel), Just Like Chrome, Edge and Firefox.
Comments (0)
No ratings yet. Be the first to rate!
There are no comments posted here yet
Please leave your comments in English
Posting as Guest
Rate this post:
0   Characters
Suggested Locations