Find population and sample variance, standard deviation, mean, range, and count from a list of numbers with this free variance calculator.
Mean:
Sum of values ÷ number of values
Population variance:
Σ(x − μ)² ÷ n
Sample variance:
Σ(x − x̄)² ÷ (n − 1)
Standard deviation:
√variance
Variance measures how much the values in a dataset differ from the mean on average. It helps show consistency, spread, and volatility in the data.
It is commonly used in statistics, finance, science, business, and quality control.
Your result shows how much the data varies around the mean using squared distance. A smaller variance means the values cluster more tightly around the average.
A larger variance means the values are more spread out, which may indicate more variability or inconsistency in the dataset.
Variance is the average squared distance between each value and the mean.
Variance is measured in squared units, while standard deviation is the square root of variance and is in the original units.
Use sample variance when the data is only a sample of a larger population.
Yes. This calculator works with whole numbers, decimals, and negative values.