The SUMX2MY2 function in Google Sheets is a powerful tool used for calculating the total of the differences of the squares between two arrays. This function is particularly useful in statistical analyses and mathematical computations where assessing the variation between two sets of numbers is necessary, providing valuable insights into the data.

Syntax

SUMX2MY2(array_x, array_y)

• array_x: The first array of values, which will have its squares subtracted.
• array_y: The second array of values, whose squares will be subtracted from the squares of array_x.

Example #1

SUMX2MY2(A1:A3, B1:B3)

This function computes the sum of the squared differences between the values in ranges A1 through A3 and B1 through B3. For example, if A1:A3 contains values {3, 5, 2} and B1:B3 contains values {1, 6, 3}, the result would be: (3² – 1²) + (5² – 6²) + (2² – 3²) = (9 – 1) + (25 – 36) + (4 – 9) = 8 – 11 = -3.

Example #2

SUMX2MY2({10, 20}, {5, 15})

This calculates the total of the squared differences between the values in the arrays {10, 20} and {5, 15}. The computation would yield: (10² – 5²) + (20² – 15²) = (100 – 25) + (400 – 225) = 75 + 175 = 250.

Example #3

SUMX2MY2({-4, -2}, {2, 6})

In this instance, the function evaluates the squared differences of the arrays {-4, -2} and {2, 6}. The result would be: ((-4)² – 2²) + ((-2)² – 6²) = (16 – 4) + (4 – 36) = 12 – 32 = -20.

Error handling

• VALUE!: This error occurs if any of the arrays contain non-numeric values. Ensure both arrays consist solely of numbers.
• N/A: This may arise if the ranges provided are of different sizes. Make sure both arrays have the same number of elements.
• REF!: This indicates a reference error, often due to deleted cells in the range. Verify that all specified ranges are intact.

Conclusion

The SUMX2MY2 function is an essential part of Google Sheets, providing a straightforward way to compute the sum of squared differences between two sets of data. By understanding its syntax and handling potential errors, users can make the most out of this function in their data analysis and computations, ensuring accurate and meaningful results.