Statistics

Sum of Squares Calculator

Find the total sum of squared deviations from the mean.

Parameters Live Compute
Calculated Output
Sum of squares 218.8
Mean 13.2
Formula: SS = Σ(xᵢ − mean)²
Step-by-Step Breakdown
1. Values used:
2. Value 1 = 4
3. Value 2 = 8
4. Value 3 = 15
5. Value 4 = 16
6. Value 5 = 23
7.
8. Sum of squares = 218.8
9. Mean = 13.2
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Sum of squares totals how far each value sits from the mean — the basis of variance.

The math behind it

SS = Σ(value − mean)². Variance = SS ÷ n (or n−1 for a sample).

Worked Example

4,8,15,16,23 → mean 13.2, SS 218.8.

Frequently Asked Questions

Use?

Foundation of variance, ANOVA and regression.

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