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Variance Calculator

The Variance Calculator calculates the variance of a set of numbers.

Calculator

Enter the values described below, then run. Use Load sample to try a prefilled example when available.

Format hints
Enter input...

How to Use This Tool

  1. Open the Variance Calculator and find the main field: Input.
  2. Type your values in that field. The placeholder shows an example format (Enter input...).
  3. Click "Run" to compute the result in your browser.
  4. Read the result in the Result section. Use Copy to paste the output elsewhere.

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

The Variance Calculator calculates the variance of a set of numbers. Variance measures how far a set of numbers is spread out from their average value.

Examples

Valid comma-separated numbers

Input
Input
1,2,3,4,5
Output
Shown in the Result area after you click the action button.

Valid with larger numbers

Input
Input
10, 20, 30, 40, 50
Output
Shown in the Result area after you click the action button.

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.

Frequently Asked Questions