- Enter a comma-separated list of numbers.
- The calculator will automatically compute and display the population and sample standard deviation.
Standard Deviation Calculator
The Standard Deviation Calculator calculates the standard deviation of a set of numbers.
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.
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.