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Excel: Summing/Counting Based on Multiple Criteria

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Originally Posted in our Excel Help Forum

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See Also: Array Formulas | Count with multiple criteria | Sum with multiple criteria | Conditional date summing | Sum Every Nth Cell | Sum The x Largest or x Smallest Number in a Range | Count Only One Occurrence

Conditional Summing / Counting
 
A Forum Member needed to count based on conditions as follows

Column A Column B
01 0.5
01 0.7
01 1.0
02 0.3
02 2.0

The result needed was as follows:

If Column = 01 then count how many cells in Column B are less than 1
 
XL-Dennis provided a solution using SUMPRODUCT
 
=SUMPRODUCT((A1:A5="01")*(B1:B5<1))

Another poster required further explanation of how SUMPRODUCT worked, and this was explained in great detail by Chris Davison.

Let’s look at the first part of the SUMPRODUCT solution: (A1:A5="01")

(A1:A5="01") is a Boolean statement – i.e. the statement is either TRUE or FALSE for each value – in the above example…

TRUE
TRUE
TRUE
FALSE
FALSE

or, since TRUE=1 and FALSE=0 :

1
1
1
0
0

looking at the second part :

(B1:B5<1)

Another Boolean test - the statement is either TRUE or FALSE:

TRUE
TRUE
FALSE
TRUE
FALSE

and again, since TRUE=1 and FALSE=0 :

1
1
0
1
0

since there are two conditions, SUMPRODUCT multiplies the products of both criteria in this array…

1x1
1x1
1x0
0x1
0x0

equals

1
1
0
0
0

The PRODUCT of the results :

1+1+0+0+0 = 2

So the net result is 2 (i.e. 2 conditions conform to the criteria we specified)

The formula can be used in many ways and once you discover SUMPRODUCT, it seems like a gift from heaven – a word of caution though…

Imagine having 10 criteria (i.e. names that begin with "B", in the "North", where the value is less than $5000, with a date in January, for salesman "Bloggs", for company "ABC Corp" and you're interrogating 5,000 records....

SUMPRODUCT will interrogate each record (all 5,000 of them) ten separate times, to ascertain whether each criteria is in fact TRUE or FALSE.... then when it's got all these, it multiplies them all together 5,000 x 10 calculations, then adds up the results.... with such a query, I wouldn't be surprised if it took a minute or so to calculate, so while it's useful, if you begin to notice performance degradations on your worksheets as you use them more often, you may be better off looking at the range of Database formulae..( DSUM, DGET, DCOUNTA etc) which basically do the same thing but are much easier to set up and maintain, and, from experience, are a lot quicker.,

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