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Count values out of tolerance

Excel formula: Count values out of tolerance
Generic formula 

To count values that are out of tolerance in a set of data, you can use a formula based on the SUMPRODUCT and ABS functions. In the example shown, the formula in F6 is:


where "data" is the named range B5:B14, "target" is the named range F4, and "tolerance" is the named range F5.


This formula counts how many values are not in range of a fixed tolerance. The variation of each value is calculated with this:


Because the named range "data" contains 10 values, subtracting the target value in F4 will created an array with 10 results:


The ABS function changes any negative values to positive:


This array is compared to the fixed tolerance in F5:


The result is an array or TRUE FALSE values, and the double negative changes these to ones and zeros. Inside SUMPRODUCT, the final array looks like this:


where zeros represent values within tolerance, and 1s represent values out of tolerance. SUMPRODUCT then sums the items in the array, and returns a final result, 4.

All values within tolerance

To return "Yes" if all values in a data range are within a given tolerance, and "No" if not, you can adapt the formula like this:


If SUMPRODUCT returns any number greater than zero, IF will evaluate the logical test as TRUE. A zero result will be evaluated as FALSE.

Highlight values out of tolerance

You can highlight values out of tolerance with a conditional formatting rule based on a formula like this:


Highlight values out of tolerance

This page lists more examples of conditional formatting with formulas.

Dave Bruns

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