Variance Calculator | Free Statistical Tool

Enter comma-separated numbers to calculate variance, standard deviation, and related statistics.

Data Set (comma-separated numbers) Enter numbers separated by commas, spaces, or new lines

Calculation Type Use sample for data from a subset, population for complete data

Variance

σ² or s²

Standard Deviation

σ or s

Mean

Average (μ or x̄)

Count (n)

Number of values

Sum

Σx

Sum of Squares

Σ(x-μ)²

Get our free PDF with variance formulas, examples, and step-by-step calculation guides.

How to Calculate Variance

Variance measures how far each number in the set is from the mean. Our calculator handles both sample and population variance calculations.

Population Variance:

σ² = Σ(x-μ)²/N

Sample Variance:

s² = Σ(x-μ)²/(n-1)

Calculate standard deviation for data sets.

Calculate central tendency measures.

Determine required sample sizes.