Sum of Squares Calculator
Find the sum of squared deviations from the mean for a list of numbers, with each squared deviation.
Change the values and press Calculate to work out your own figures.
Enter numbers to find the sum of their squared deviations from the mean.
| Value | x − mean | (x − mean)² |
|---|---|---|
| 10 | -12.25 | 150.0625 |
| 2 | -20.25 | 410.0625 |
| 38 | 15.75 | 248.0625 |
| 23 | 0.75 | 0.5625 |
| 38 | 15.75 | 248.0625 |
| 23 | 0.75 | 0.5625 |
| 21 | -1.25 | 1.5625 |
| 23 | 0.75 | 0.5625 |
Show the working
- Mean = 22.25
- SS = Σ(x − mean)² = 1,059.5
How to use it
Enter numbers to find the sum of their squared deviations from the mean.
Paste or type the numbers separated by commas, spaces or new lines. Results are worked out exactly and shown to 12 significant figures; Show the working lists each step.
Key facts
SS = Σ(x − mean)²
Where it is used
The sum of squares is the building block of variance, standard deviation and regression; divide it by N or n − 1 to get the variance.
Questions
Is this the sum of the squared values?
No; it is the sum of the squared distances from the mean.
Can it be negative?
No.
Formulas
SS = Σ(x − mean)²
Sources
Limitations
- Up to 5,000 values. Values are separated by commas, spaces or new lines, so write 1250 rather than 1,250.