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Counting Odds and Evens

Summary: If you have a series of values in a range of cells, you may wonder how many of those values are even and how many are odd. There are a couple of ways you can find the desired counts in Excel. (This tip works with Microsoft Excel 97, Excel 2000, Excel 2002, and Excel 2003. You can find a version of this tip for the ribbon interface of Excel (Excel 2007 and later) here: Counting Odds and Evens.)

Pini has a range of whole numbers (let's say C2:J2) and some of the numbers can be odd and some even. He would like a formula to count the number of odd values in the range and another to count the number of even values in the range.

There are a couple of ways to derive the desired counts, without resorting to intermediate values or macros. One way is to use an array formula, such as the following, to determine a count of odd values:

=SUM((MOD(C2:J2,2)<>0)*1)

Enter the formula using Ctrl+Shift+Enter and you get the desired count. Only a small change is required for the array formula to return the count of even numbers:

=SUM((MOD(C2:J2,2)=0)*1)

If you prefer to not use an array formula, you could use SUMPRODUCT to return the same count, as a regular formula. For example, here is the formula to return a count of odd values:

=SUMPRODUCT(--(MOD(C2:J2,2)=1),--(C2:J2<>""))

This is the formula for even values:

=SUMPRODUCT(--(MOD(C2:J2,2)=0),--(C2:J2<>""))

Another advantage of using the SUMPRODUCT approach is that it compensates for possible blank cells in your range. The earlier array formulas will always count blank cells as if they contain an even value.

ExcelTips is your source for cost-effective Microsoft Excel training. This tip (7985) applies to Microsoft Excel versions: 97 | 2000 | 2002 | 2003

You can find a version of this tip for the ribbon interface of Excel (Excel 2007 and later) here: Counting Odds and Evens.

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