Worked example
Data: 1 2 2 3 4
→ n=5; μ=2.4; median=2; mode=2; σ²=1.04
Method and scope
Paste up to 10,000 values. Welford’s recurrence computes variance without subtracting large squared sums. s² and s require at least two values. ∅ indicates no repeated mode; ties list all modes.
σ² = Σ(x−μ)²/n; s² = Σ(x−μ)²/(n−1)
Precision and limits
≈ marks an approximation. Display rounding does not change the internal calculation.