Sum of Squares Calculator

Enter numeric values to compute the raw sum of squares and the sum of squared deviations from the mean.

Data values (separate with spaces or commas)

Count

Mean

18.0000

Σx²

1710.0000

Σ(x − μ)²

90.0000

How to Interpret

Σx²: Raw sum of squared values. Useful for computing moments or powering variance calculations.

Σ(x − μ)²: Sum of squared deviations around the mean. Combine with count to derive variance and standard deviation.

Enter your dataset using spaces or commas to separate numeric values.
Review the computed mean, Σx², and Σ(x − μ)² displayed in the results.
Use Σ(x − μ)² as the numerator in variance formulas for population or sample variance.
Apply Σx² in ANOVA, regression, or summary statistics requiring squared terms.

Σx² = Σ x_i²

Σ(x − μ)² = Σ (x_i − μ)², where μ = Σx / n

Population variance = Σ(x − μ)² / n

Sample variance = Σ(x − μ)² / (n − 1)

These quantities underpin variance, standard deviation, ANOVA, regression sum-of-squares, and many statistical procedures.

It measures total deviation around the mean and is the numerator for variance and standard deviation.

Yes. Squaring removes the sign, so negative values contribute just like positive ones.

No sums are computed; add at least one value to see results.

Divide Σ(x − μ)² by n for population variance or by n − 1 for sample variance.