Calculate mean, variance and standard deviation for a sample or an entire population.
Averages, standard deviation, z-scores, normal distributions and probability calculations.
Enter the values requested above and select Calculate. Change any input to compare another scenario. The calculation runs locally in your browser and does not require an account.
For 2, 4, 4, 4, 5, 5, 7, 9, the population mean is 5 and population standard deviation is 2.
Calculate mean, variance and standard deviation for a sample or an entire population. The result is intended for quick estimates, checking arithmetic and comparing scenarios. When a result affects a contract, tax filing, medical decision, building-code requirement or other high-stakes situation, verify the result with the appropriate professional or authoritative source.
The values 2, 4, 6, 8 have mean 5. Squared deviations are 9, 1, 1, and 9, summing to 20. Divide by four for the population variance of 5 and standard deviation 2.2361. Divide by three when treating the values as a sample; sample standard deviation is approximately 2.5820.
Select the right mode: use population when the list includes every value being studied; use sample for a subset from a larger population. A sample standard deviation needs at least two observations.
Calculate mean, variance and standard deviation for a sample or an entire population.
Population variance divides squared deviations by n; sample variance divides by n − 1. Standard deviation is the square root of variance.
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