 Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. If you are using an earlier version (Excel 2003 or earlier), this tip may not work for you. For a version of this tip written specifically for earlier versions of Excel, click here: Summing Absolute Values.

# Summing Absolute Values by Allen Wyatt
(last updated June 2, 2018)

Joseph has a worksheet that contains a list of values. Some of those values are above zero and others are below. He can use the SUM function to calculate a sum of the values, but he really wants to calculate a sum of the absolute value of each item in the list. So, the sum of the three values -33, 14, -5 would be 52 instead of -24.

There is no intrinsic function you can use to create the desired sum, but you can create a formula to perform the task. One method is to use the SUMIF function, in the following manner:

```=SUMIF(A1:A10,">0")-SUMIF(A1:A10,"<0")
```

The first SUMIF sums all the values that are greater than zero, and the second sums all those less than zero. Thus, with the four values -33, 14, -5, 42, the first SUMIF would result in a sum of 56 (14 + 42) and the second would result in a sum of -38 (-33 + -5). When you subtract the second sum from the first (56 - -38) you get a final answer of 94, which is the sum of all the absolute values.

Another approach is to use the SUMPRODUCT function. The following formula will produce the desired result:

```=SUMPRODUCT(ABS(A1:A10))
```

The function is typically used to multiply different elements of arrays by each other, and then sum those products. Since only one array (A1:A10) is provided, there is no multiplication done, but a sum of the desired absolute values is returned.

You can also get the desired result by using an array formula, a convenient but seldom used feature of Excel. Assuming your values are in the range A1:A10, type this formula:

```=SUM(ABS(A1:A10))
```

Don't press Enter; instead press Ctrl+Shift+Enter, which signifies this is an array formula. If the formula is entered correctly, you'll see braces around the formula in the Formula bar:

```{=SUM(ABS(A1:A50))}
```

What the formula does is internally create the intermediate column (which is an array of values) which are the individual absolute values of A1:A10. It then sums this array and displays the result.

Finally, if you prefer you could create your own user-defined function (a macro) that will return the sum of the absolute values in a range. The following is a macro that will accomplish this task:

```Function SumAbs(Rng As Range) As Double
Result = 0
On Error GoTo Done
For Each element In Rng
Result = Result + Abs(element)
Next element
Done:
SumAbs = Result
End Function
```

You can use the function by entering a simple formula in your worksheet:

```=SumAbs(A1:A10)
```

Note:

If you would like to know how to use the macros described on this page (or on any other page on the ExcelTips sites), I've prepared a special page that includes helpful information. Click here to open that special page in a new browser tab.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (12615) applies to Microsoft Excel 2007, 2010, 2013, 2016, 2019, and Excel in Office 365. You can find a version of this tip for the older menu interface of Excel here: Summing Absolute Values.

##### Author Bio

Allen Wyatt

With more than 50 non-fiction books and numerous magazine articles to his credit, Allen Wyatt is an internationally recognized author. He is president of Sharon Parq Associates, a computer and publishing services company. ...

##### MORE FROM ALLEN

Working with ISO Files

ISO files provide a digital copy of what is stored on an optical disc. Windows allows you to treat these files as if they ...

Discover More

Upside-Down Printing

Putting words on the printed page is easy in Word. Rotating those words in different manners can be a bit trickier. This ...

Discover More

Working with Multiple Printers

If you have multiple printers accessible to your computer, you may need a way to quickly print your worksheet on a ...

Discover More Program Successfully in Excel! John Walkenbach's name is synonymous with excellence in deciphering complex technical topics. With this comprehensive guide, "Mr. Spreadsheet" shows how to maximize your Excel experience using professional spreadsheet application development tips from his own personal bookshelf. Check out Excel 2013 Power Programming with VBA today!

##### More ExcelTips (ribbon)

Understanding Scope for Named Ranges

When you add a named range to a worksheet, you can specify if you want that named range to apply to the workbook or only ...

Discover More

Combining Cell Contents

Excel allows you to easily combine text together. Interestingly, it provides two ways you can perform such combinations. ...

Discover More

Adding a Missing Closing Bracket

When working with large amounts of data, it is a good idea to make sure that the data all consistently follows a pattern. ...

Discover More
##### Subscribe

FREE SERVICE: Get tips like this every week in ExcelTips, a free productivity newsletter. Enter your address and click "Subscribe."

View most recent newsletter.

If you would like to add an image to your comment (not an avatar, but an image to help in making the point of your comment), include the characters [{fig}] in your comment text. You’ll be prompted to upload your image when you submit the comment. Maximum image size is 6Mpixels. Images larger than 600px wide or 1000px tall will be reduced. Up to three images may be included in a comment. All images are subject to review. Commenting privileges may be curtailed if inappropriate images are posted.

What is four more than 3?

2019-08-05 12:35:29

Willy Vanhaelen

The macro in this tip has a serious bug!

If the range contains a string (even a cell containing just a space) the UDF (User Defined Function) will produce a faulty result.
- An error will occur when the For Next loop encounters a cell containing a srtring.
- The "On Error GoTo Done" line causes the looping to stop and the line after 'Done:' will be executed.
- The result at that moment will be displayed skipping the rest of the range which is of course totally wrong.

So deleting the On Error line will fix this bug but here is a one-liner that does the same job correctly:

Function SumAbs(Rng As Range) As Double
SumAbs = Evaluate("SUM(ABS(" & Rng.Address & "))")
End Function

it shows #VALUE! in case your range contains a string just as the formulas do.
In fact it is simply the VBA implementation of the array formula {=SUM(ABS(Range))}

##### This Site

Got a version of Excel that uses the ribbon interface (Excel 2007 or later)? This site is for you! If you use an earlier version of Excel, visit our ExcelTips site focusing on the menu interface.