Separate values with commas (e.g. 10, 12, 23, 24, 30):

โœจ Deviation Summary
Population SD (ฯƒ) 0
Sample SD (s) 0
Population Variance (ฯƒยฒ) 0
Sample Variance (sยฒ) 0
Arithmetic Mean 0
Data Count 0

About Standard Deviation Calculator

Our Standard Deviation Calculator computes statistical values instantly in your browser. Perfect for statistics classes, research investigations, engineering metrics, and analytics tasks. For core metrics, see our Average Calculator or create randomized test values using the Random Number Generator.

This tool operates entirely in your browser using pure JavaScript, ensuring maximum privacy and instant calculations without any server delays. No data is stored, and no signup is required. You can return to our Home Page for more tools.

How to Use The Tool

Enter numerical values separated by commas, and standard deviation results automatically compute in the stats summary card. Read about variance calculation methods at Wikipedia.

Mathematical Formulas Used

Variance (ฯƒยฒ) = ฮฃ(x - ฮผ)ยฒ / n Standard Deviation (ฯƒ) = โˆšVariance

Frequently Asked Questions

What is the difference between Sample and Population Standard Deviation?

Population SD (ฯƒ) is used when you have the complete dataset. Sample SD (s) uses Bessel's correction (n - 1) and is used when you have a sample representing a larger population.

What is Variance?

Variance is the average of the squared differences from the Mean. Standard deviation is simply the square root of variance.