- Enter the Variance Calculator input in the field on the page.
- Click "Run" to run the tool in your browser.
- Read the result below the form and copy it if you need it in another app.
Variance Calculator
The Variance Calculator calculates the variance of a set of numbers.
How to Use This Tool
Learn More About Variance Calculator
Understanding Variance
Variance measures the average squared deviation from the mean. A high variance indicates that the data points are very spread out from the mean, while a low variance indicates that they are clustered closely around the mean.
Population Variance
Population variance is calculated when you have data for the entire population.
Sample Variance
Sample variance is calculated when you have data for a sample taken from the population.
Formula for Population Variance
σ² = Σ (xi - μ)² / N
Formula for Sample Variance
s² = Σ (xi - x̄)² / (n-1)
About
Examples
Valid comma-separated numbers
1,2,3,4,5
2
Valid with larger numbers
10, 20, 30, 40, 50
200
Use Cases
- Analyzing data sets in statistics.
- Determining the dispersion of data.
- Measuring the spread of data in scientific research.
- Assessing variability in various fields.