Math & Trig
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=SUMX2PY2()
Returns the sum of the sum of squares of corresponding values in two arrays. The sum of the sum of squares is a common term in many statistical calculations.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=SUMX2PY2(array_x, array_y)
Hover argument names in the table for details.
Output typeNumber
Popularity36 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
array_x |
Range/Array | Required | The first array or range of values. |
array_y |
Range/Array | Required | The second array or range of values. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
First array |
B2 |
Second array |
A3 |
2 |
B3 |
6 |
A4 |
3 |
B4 |
5 |
A5 |
9 |
B5 |
11 |
A6 |
1 |
B6 |
7 |
A7 |
8 |
B7 |
5 |
A8 |
7 |
B8 |
4 |
A9 |
5 |
B9 |
4 |
A10 |
First array |
B10 |
Second array |
A11 |
2 |
B11 |
6 |
A12 |
3 |
B12 |
5 |
A13 |
9 |
B13 |
11 |
A14 |
1 |
B14 |
7 |
A15 |
8 |
B15 |
5 |
A16 |
7 |
B16 |
4 |
A17 |
5 |
B17 |
4 |
Sum of the sum of squares of the two arrays above (521)
=SUMX2PY2(A3:A9,B3:B9)
Result:
521
Sum of the sum of squares of the two arrays constants (521)
=SUMX2PY2({2,3,9,1,8,7,5}, {6,5,11,7,5,4,4})
Result:
521
§ Remarks
- The arguments should be either numbers or names, arrays, or references that contain numbers.
- If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
- If array_x and array_y have a different number of values, SUMX2PY2 returns the #N/A error value.
- The equation for the sum of the sum of squares is:
✦ Tips
- The arguments should be either numbers or names, arrays, or references that contain numbers.
- If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
- The equation for the sum of the sum of squares is:
⚠ Common Errors
#N/A
If array_x and array_y have a different number of values, SUMX2PY2 returns the #N/A error value.
Fix: Use equal sizes
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