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Free Standard Deviation & Variance Calculator (Sample & Population) Online

Calculate Population (σ) and Sample (s) Standard Deviation, Variance, Mean, Sum of Squares, and Margin of Error for any numeric dataset. — 100% free online utility, zero sign-up, zero paywalls, and private client-side processing.

100% Client-Side0ms Latency
Algebraic & Polynomial Solverax² + bx + c = 0
Roots of Equationx₁ = 3.000, x₂ = 2.000
Discriminant (Δ)1
Parabola Vertex(2.50, -0.25)
Axis of Symmetryx = 2.50

How It Works

1

Input Numbers

Paste comma, space, or newline-separated numbers into the dataset box.

2

Select Dataset Type

Choose Sample (divides by n - 1) or Population (divides by N).

3

Inspect Statistical Table

Review Mean (x̄), Variance (s²), Standard Deviation (s), and Sum (Σx).

4

Export Metrics

Copy statistical summary or download CSV.

Frequently Asked Questions

Population standard deviation divides the sum of squared differences by N (when analyzing an entire population). Sample standard deviation divides by (n - 1) using Bessel's correction to eliminate bias when estimating from a sample.

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