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How to use the SUMX2PY2() function in Excel

This function 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.

Syntax
SUMX2PY2(array_x; array_y)

Arguments

  • array_x(required) – The first array or range of values.
  • array_y(required) – The second array or range of values.

Background

  • The arguments should be numbers, names, arrays, or references containing numbers.
  • If an array or a reference argument contains text, logical values, or empty cells, those values are ignored. However, cells with the value zero are included.
  • If array_xand array_y have a different number of values, the SUMX2PY2() function returns the #N/A

The equation for the sum of the sum of squares is:
Σ(x² + y²)

EXAMPLE

The solution of this equation is built for the example (see Figure below) as follows:

  1. In two specified ranges:
    • Range A:4, 5
    • Range B:2, 3

The square of each value is calculated:

  • Range A:16, 25
  • Range B:4, 9
  1. The squares of all values in each range are summed:
    • Range A:16 + 25 = 41
    • Range B:4 + 9 = 13
  2. The sums are added together (see Figure 16-36):
    41 + 13 = 54

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