Variance Calculator
Sample and population variance.
Enter your values
Enter the data values you are working with.
Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.
- Sample variance
- 4.666667
- Population variance
- 4
- Sample standard deviation
- 2.160247
- Mean
- 6
- Count
- 7
- Coefficient of variation
- 36%
Quick answer
Variance is the average squared deviation from the mean; sample variance divides by n−1 to stay unbiased.
s² = Σ(x − x̄)² / (n − 1)
At a glance
| What it does | Sample and population variance. |
|---|---|
| Category | Statistics |
| Inputs needed | Data values |
| Main output | Sample variance |
| Formula | s² = Σ(x − x̄)² / (n − 1) |
| Cost | Free — no sign-up, no download |
How to use the Variance Calculator
- 1Paste your values separated by commas.
- 2Use sample variance for a subset, population for the whole group.
- 3Read the standard deviation too.
Inputs explained
- Data values
- Enter the data values you are working with.
Worked example
Using the values the calculator loads with:
Inputs
- Data values4, 8, 6, 5, 3, 9, 7
Results
- Sample variance4.666667
- Population variance4
- Sample standard deviation2.160247
- Mean6
- Count7
- Coefficient of variation36%
Frequently asked questions
Why divide by n−1?
It corrects the downward bias when estimating population variance from a sample.
What are the units?
Squared units — take the square root for standard deviation in original units.
What do I need to enter into the Variance Calculator?
Just 1 value: data values. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.
How does the Variance Calculator work out the answer?
Variance is the average squared deviation from the mean; sample variance divides by n−1 to stay unbiased. It applies the formula s² = Σ(x − x̄)² / (n − 1) and shows the working so you can check each step by hand.
Is the Variance Calculator free, and do I need an account?
It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.
Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.