The Excel SUMX2PY2 function returns the sum of the sum of squares of corresponding values in two arrays. Values can be supplied as constants, cell references, or ranges.


Get sum of squares in two arrays

Return value 

Calculated sum of sum of squares


  • array_x - The first range or array containing numeric values.
  • array_y - The second range or array containing numeric values.


=SUMX2PY2(array_x, array_y)

How to use 

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_yArray_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.


=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:


which returns 600 as a result.


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:


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

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


  • 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.
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Dave Bruns

Hi - I'm Dave Bruns, and I run Exceljet with my wife, Lisa. Our goal is to help you work faster in Excel. We create short videos, and clear examples of formulas, functions, pivot tables, conditional formatting, and charts.