- Open the Standard Deviation Calculator and find the main field: Input.
- Type your values in that field. The placeholder shows an example format (Enter input...).
- Click "Run" to compute the result in your browser.
- Read the result in the Result section. Use Copy to paste the output elsewhere.
Standard Deviation Calculator
The Standard Deviation Calculator calculates the standard deviation of a set of numbers.
Calculator
Enter the values described below, then run. Use Load sample to try a prefilled example when available.
Format hints
Enter input...
How to Use This Tool
Learn More About Standard Deviation Calculator
Understanding Standard Deviation
Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
Population vs. Sample Standard Deviation
- Population Standard Deviation: Calculated for the entire population.
- Sample Standard Deviation: Calculated for a sample taken from the population.
Formula for Population Standard Deviation
σ = √[ Σ (xi - μ)² / N ] where μ is population mean and N is population size.
Formula for Sample Standard Deviation
s = √[ Σ (xi - x̄)² / (n-1) ] where x̄ is sample mean and n is sample size.
About
The Standard Deviation Calculator calculates the standard deviation of a set of numbers. It provides both population and sample standard deviation, measuring the spread of data around the mean.
Examples
Valid comma-separated numbers
Input
Input
1,2,3,4,5
Output
Shown in the Result area after you click the action button.
Valid with larger numbers
Input
Input
10, 20, 30, 40, 50
Output
Shown in the Result area after you click the action button.
Use Cases
- Analyzing data sets in statistics.
- Determining the volatility in finance.
- Measuring the spread of data in scientific research.
- Assessing risk in various fields.