Skip to content
Statistics Calculator

Population Variance Calculator

Calculate population variance, population standard deviation, mean, count, and squared deviations from any list of numerical values.

Enter population data

Separate values with commas, spaces, or line breaks. Formula: σ² = Σ(x − μ)² ÷ N

Result

σ²

Enter population values and click calculate.

Population variance
Mean
Std. deviation
Count

Population variance

Population variance measures the average squared distance of every value from the population mean.

Population vs sample

Population variance divides by N. Sample variance estimates a larger population and divides by n − 1.

Interpreting results

A smaller variance means values are clustered near the mean, while a larger variance indicates greater spread.

Frequently asked questions

What is the population variance formula?

Subtract the population mean from each value, square every difference, add the squares, and divide by the total number of values.

Can I paste values on separate lines?

Yes. The calculator accepts commas, spaces, semicolons, tabs, and line breaks.

Does this calculator use N or N − 1?

It uses N because this calculator is specifically designed for population variance.

Math Calculation Disclaimer

Results are estimates generated locally in your browser using standard mathematical formulas. They are for informational and educational purposes only and are not a substitute for verification in coursework, examinations or professional contexts requiring certified accuracy. VisionVix accepts no liability for decisions based on this tool's output.

🎁 WELCOME GIFT

🎁 Get 5 FreeAI Credits

Leave your email and get 5 free credits on VisionVix — our AI agent marketplace with 500+ tools. Plus, be first to know when new calculators go live here. No spam, ever.

Thanks — your credits are being prepared.

Credits added to your VisionVix account within 24 hours.
VisionVix AI agent dashboard on a laptop

500+ AI Agents

📊

Smart Calculators

🔔

Early Access

🛡️

No Spam, Ever