Variance Calculator

Compute mean, variance and standard deviation for population or sample data with a step-by-step formula breakdown.

Count (n)7
Mean6
Median6
Min / Max3 / 9
Population variance σ²4
Population std dev σ2
Sample variance s²4.66666667
Sample std dev s2.1602469
Std error of mean0.81649658
Steps
Σx = 42  →  mean μ = Σx / n = 42 / 7 = 6
SS = Σ(x − μ)² = 28
population σ² = SS / n = 28 / 7 = 4
sample s² = SS / (n − 1) = 28 / 6 = 4.66666667
Deviation table
xx − μ(x − μ)²
4-24
824
600
5-11
3-39
939
711

Population variance divides by n (the whole set); sample variance divides by n − 1 (Bessel's correction — use this when your data is a sample of a larger population).

About Variance Calculator

Compute mean, variance and standard deviation for population or sample data with a step-by-step formula breakdown.

Variance Calculator applies the standard formula for this calculation and returns a clean, readable result — no spreadsheet setup or manual working required.

How to Use Variance Calculator

  1. Enter your numbers in the input fields shown above.
  2. Choose any options (units, rounding, precision) if the tool offers them.
  3. The result updates automatically — no button needed.
  4. Copy the answer or reset the fields to start a new calculation.

Key Features

  • Instant results with a clear, readable output format.
  • Handles decimals, percentages and large numbers cleanly.
  • Fast and private — every calculation runs on your device.

Frequently Asked Questions

What formula does Variance Calculator use?

Variance Calculator uses the standard, widely accepted formula for this calculation. Results are rounded only for display, so they are reliable for homework, planning and quick checks.

Is Variance Calculator free to use?

Yes. Variance Calculator is completely free with unlimited use — no account, download or payment required.

Is my data uploaded to a server?

No. Variance Calculator runs entirely in your browser. Your inputs are never sent to our servers or stored anywhere.

Does Variance Calculator work on mobile?

Yes. The interface is fully responsive and works in any modern browser on Android, iPhone, tablets and desktops.

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