ID EN
#Math

SUMXMY2

Excel Functions

Sum of squares of differences in two arrays

Syntax

EXCEL
=SUMXMY2(array_x, array_y)

Arguments

Parameter Description
array_x The first range or array containing numeric values.
array_y The second range or array containing numeric values.

Return Value

Calculated sum of squares of differences

Details

The Excel SUMXMY2 function returns the sum of squares of differences between corresponding values in two arrays. The "m" in the function name stands for "minus", as in "sum x minus y squared". SUMXMY2 takes two arguments, array_x and array_y. Array_x is the first range or array or range of numbers, and array_y is the second range or array of numbers. Both arguments can be provided as an array constant or as a range. In the example shown above, the formula in E5 is: which returns 28 as a result. The equation used to calculate the sum of squares is:

Examples

Examples
EXCEL
=SUMXMY2({0,1},{1,2})// returns 2
=SUMXMY2({1,2,3},{1,2,3}) // returns 0
Examples

In the example shown above, the formula in E5 is:

EXCEL
=SUMXMY2(B5:B12,C5:C12)
Equation

This formula can be created manually in Excel with the exponentiation operator (^) like this:

EXCEL
=SUM((range1-range2)^2)
Equation

With the example as shown, the formula below will return the same result as SUMX2MY2:

EXCEL
=SUM((B5:B12-C5:C12)^2) // returns 28

See Also

SUMSQ SUMX2MY2 SUMX2PY2 SUMXMY2