SUMX2PY2 Function

The SUMX2PY2 function returns the sum of the sum of squares of corresponding values in two arrays. The "p" in the function name stands for "plus", as in "sum x² plus y²". 

SUMX2PY2 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.

Examples

=SUMX2PY2({1,2},{1,2}) // returns 10
=SUMX2PY2({1,2,3},{1,2,3}) // returns 28

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

=SUMX2PY2(B5:B12,C5:C12)

which returns 600 as a result.

Equation

The equation used to calculate the sum of the sum of squares is:

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

=SUM((range1^2)+(range2^2))

With the example as shown, the formula below will return the same result as SUMX2PY2:

=SUM((B5:B12^2)+(C5:C12^2)) // returns 600

Notes

• Arguments can be a mix of constants, names, arrays, or references that contain numbers.
• Empty cells are ignored, but cells with zero values are included.
• SUMX2PY2 returns #N/A if the arrays contain different numbers of cells.
• If a cell in array_x or array_y is empty, or contains text, the pair of values are ignored.