Find Variance Calculator
Variance Calculator works out Standard deviation and Variance from Data values, Frequencies (optional) and Data represents. The default figures on this page give variance of 4.571429; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
5 steps
- n = 8, Σx = 40
- Mean = 40 / 8 = 5
- Σ(x − mean)² = 32
- s² = 32 / (8 − 1) = 4.571429
- s = sqrt(4.571429) = 2.13809
Deviation tabletable
| value | frequency | deviation | squaredDeviation |
|---|---|---|---|
| 2 | 1 | -3 | 9 |
| 4 | 1 | -1 | 1 |
| 4 | 1 | -1 | 1 |
| 4 | 1 | -1 | 1 |
| 5 | 1 | 0 | 0 |
| 5 | 1 | 0 | 0 |
| 7 | 1 | 2 | 4 |
| 9 | 1 | 4 | 16 |
Its 5 worked examples are re-run on every release, last on 15 September 2026. What changed
Sources and references
2 sources
What the Variance Calculator calculates
Computes sample and population standard deviation and variance from a data set or a frequency table, showing every deviation and squared deviation.
How to use this Variance Calculator
Enter Data values, Frequencies (optional) and Data represents. Standard deviation updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Standard deviation, Variance and Sample standard deviation (s).
The method follows OpenStax, Introductory Statistics 2e, section 2.7 "Measures of the Spread of the Data" and NIST/SEMATECH e-Handbook of Statistical Methods, 1.3.5.6 "Measures of Scale".
What you can compare
Change one input at a time to see how it affects Standard deviation, Variance and Sample standard deviation (s). The inputs you can vary are Data values, Frequencies (optional) and Data represents.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
How to do variance on a calculator?
Computes sample and population standard deviation and variance from a data set or a frequency table, showing every deviation and squared deviation. Open “How this is worked out” beside the result to see each step for your own figures.
How do you calculate variance?
It needs Data values, Frequencies (optional) and Data represents. Nothing else is required, and the figures stay in your browser.
How to calculate variance on TI-84?
The result gives Standard deviation, Variance, Sample standard deviation (s), Sample variance (s²), Population standard deviation (σ) and Population variance (σ²), each labelled with its unit so the figure can be read on its own.
What does 20% variance mean?
Computes sample and population standard deviation and variance from a data set or a frequency table, showing every deviation and squared deviation. On this page it is computed from Data values, Frequencies (optional) and Data represents and shown as Standard deviation, Variance and Sample standard deviation (s).
How do you calculate the variance?
The page opens with worked default figures: variance of 4.571429. Replace them with your own and every figure updates as you type.
What information do I need for the Variance Calculator?
You need Data values, Frequencies (optional) and Data represents. The page opens with default figures that give variance of 4.571429, so you can see the scale before entering your own.