Free Sum of Squares Calculator
Calculate the total sum of squared deviations from the mean, a building block for variance and regression.
Sum of Squares (SS)
20.0000
Mean6.0000
Population Variance (SS/n)5.0000
Sum of Squares (SS) vs Value 1
How to Calculate the Sum of Squares
Formula
SS = Sum of (xi - mean)^2
For each value, subtract the mean, square the result, and add them up. The sum of squares quantifies total variability in the data and is the numerator in variance calculations.
Example Calculation
Find the sum of squares for 3, 5, 7, 9.
- 01Mean = (3 + 5 + 7 + 9) / 4 = 24 / 4 = 6
- 02Deviations: 3-6=-3, 5-6=-1, 7-6=1, 9-6=3
- 03Squared deviations: 9, 1, 1, 9
- 04SS = 9 + 1 + 1 + 9 = 20
Frequently Asked Questions
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