Standard Deviation Calculator
Calculate mean, variance, and standard deviation for a list of numbers.
Inputs
Result
Enter values on the left and select Equals to see the result here.
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What the Standard Deviation Calculator does
- Computes mean, variance, and standard deviation for your dataset.
- Supports sample vs population calculations.
How to use the Standard Deviation Calculator
- Paste numbers separated by commas or spaces.
- Choose Sample or Population mode.
- Click Calculate.
Formula / methodology used
- Mean = average of values.
- Variance = average squared deviation (divide by n for population, n−1 for sample).
- Standard deviation = sqrt(variance).
Example calculation
Numbers: 2, 4, 4, 4, 5, 5, 7, 9 (population).
- Compute mean
- Compute squared deviations
- Divide by n
- Square root
Result: Outputs mean, variance, and standard deviation.
Standard Deviation Calculator FAQs
Which mode should I use?
Use population if you have the entire dataset. Use sample if your data is a sample of a larger population.