How to use this standard deviation calculator
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.
Formula and method
Example
For 2, 4, 4, 4, 5, 5, 7, 9, the population mean is 5 and population standard deviation is 2.
Tips for a useful result
Choose sample when the values are a sample used to estimate a larger population; choose population when the list is the full population of interest.
What this calculator is useful for
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.
Frequently asked questions
What does the Standard Deviation Calculator calculate?
Calculate mean, variance and standard deviation for a sample or an entire population.
How does the Standard Deviation Calculator work?
Population variance divides squared deviations by n; sample variance divides by n − 1. Standard deviation is the square root of variance.
Is the Standard Deviation Calculator free to use?
Yes. ERICH Calculators is free to use and does not require an account.