Population Variance Calculator
Calculate population variance, population standard deviation, mean, and dataset size from a list of values.
Enter values separated by commas, spaces, or line breaks.
Formula:
σ² = Σ(x − μ)² / N
| Metric | Value |
|---|
Privacy: calculations run locally in your browser. No inputs are stored or transmitted.
How it works
Population variance assumes the data represents the entire population, so the sum of squared deviations is divided by N.
Examples
- 12, 15, 18, 21, 24
- Mean, variance, and standard deviation are all calculated from the same dataset.
When to use this tool
This tool is designed for quick, practical tasks such as everyday calculations, data formatting, or simple conversions. It is best used when you need fast results without installing software or using complex tools.
When to use
- Quick checks or one-time calculations
- Validating or converting data before using it elsewhere
- Simple tasks that do not require advanced software
When not to use
- Critical financial, legal, or medical decisions
- Large-scale or automated processing
- Situations requiring guaranteed precision beyond basic validation
Always review results before using them in important contexts.
About this tool
This tool helps you perform quick utility operations directly in your browser. It runs entirely in your browser without sending data to a server.
You can use this tool when handling simple tasks without installing additional software. The results should be interpreted as a processed output based on your input data.
FAQ
- What is population variance?
Population variance measures how far values in an entire population are spread around the population mean.
- What formula does this calculator use?
It uses population variance: σ² = Σ(x − μ)² / N.
- How should I enter the data?
Enter values separated by commas, spaces, or line breaks.
- What is the difference between population and sample variance?
Population variance divides by N, while sample variance divides by n − 1.
- Are calculations stored?
No. Everything runs locally in your browser.