Please Note: This article is written for users of the following Microsoft Excel versions: 2007, 2010, 2013, 2016, 2019, Excel in Microsoft 365, and 2021. 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

Written by Allen Wyatt (last updated April 6, 2024)
This tip applies to Excel 2007, 2010, 2013, 2016, 2019, Excel in Microsoft 365, and 2021


1

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))

If you are using a version of Excel prior to Excel 2021 or Excel in Microsoft 365, you'll need to enter this as an array formula. (In other words, press Ctrl+Shift+Enter to enter the formula.) The formula internally creates 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 will accomplish the task:

Function SumAbs(Rng As Range) As Double
    Dim c As Range
    Dim r As Double

    r = 0
    On Error Resume Next
    For Each c In Rng
        r = r + Abs(c)
    Next c
    SumAbs = r
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, Excel in Microsoft 365, and 2021. 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. ...

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What is two more than 7?

2024-04-07 12:12:24

Willy Vanhaelen

Here is a one-liner UDF that does the job:

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


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