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SigmaCalc
The squared spread behind standard deviation.
Variance is the average of the squared deviations from the mean — taking its square root gives standard deviation, the more intuitive 'typical distance from the mean' measure in the same units as your data.
Squaring makes every deviation positive (so they don't cancel out when summed) and disproportionately penalizes large deviations, which is exactly the behavior most statistical models — from finance to machine learning — are built around.
What you entered
Mean
Σx ÷ 10= 12.7Sum of squared deviations
Σ(x − mean)²= 178.1Sample variance (÷ n−1)
Σ(x−mean)² ÷ 9= 19.7889Population variance (÷ n)
Σ(x−mean)² ÷ 10= 17.81Result
Sample variance: 19.789
This dataset has a sample variance of 19.789 — the square root of variance is the standard deviation, the more commonly-quoted measure of spread.