Variance & Standard Deviation Calculator
Enter a dataset and instantly get mean, variance, standard deviation, median, mode, range and more — for both population and sample formulas.
What Does This Tool Do?
Calculate a full set of descriptive statistics from any dataset: mean, sample and population variance, standard deviation, median, mode, range, sum and count.
Key Features
10 Statistics
Mean, variance, std dev, median, mode, range and more.
Sample & Population
Both formulas shown and calculated.
Formulas
Variance formulas explained in result.
Instant
Immediate calculation.
How to Use
- Enter your numbers separated by commas or spaces.
- Click Calculate Statistics.
- Read all descriptive statistics in the result.
Frequently Asked Questions
What is the difference between population and sample variance?▾
Population variance divides by N (all data). Sample variance divides by N−1 (Bessel's correction) to give an unbiased estimate when working with a sample from a larger population.
What is standard deviation?▾
Standard deviation is the square root of variance. It measures the average distance of each data point from the mean, in the same units as the original data.
When do I use sample vs population variance?▾
Use population variance when you have all data points (e.g. all test scores in a class). Use sample variance when your data is a sample from a larger population (e.g. survey results).