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Sample or Population Variance Calculator — result sheet
Calculate variance and standard deviation from a pasted dataset while keeping the population or sample divisor explicit.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Mean = Σx/n; population variance = Σ(x−mean)²/N; sample variance = Σ(x−mean)²/(n−1). Standard deviation is the square root of variance.
The divisor is a modeling choice, so the page names it in the result. Enter the values that belong to one dataset and use the sample convention only when the observations are treated as a sample estimating a wider population.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Data values
- Variance convention — 2 choices
Worked example
| Input | Value |
|---|---|
| Data values | 4, 7, 9, 10, 15 |
| Variance convention | sample |
The sample mean is 9; sample variance is 16.5 and sample standard deviation is about 4.0620.
Assumptions and limits
- Values are finite numeric observations on a common scale and are separated by commas, spaces, or semicolons.
- Sample variance requires at least two observations; population variance treats all entered observations as the population.
- The page does not correct for measurement error, weighting, clustering, autocorrelation, or a complex survey design.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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