Standard Deviation Calculator
Calculate the sample and population standard deviation.
How to Use
- Enter a sequence of numbers separated by commas, spaces, or newlines.
- Click 'Calculate' to generate both sample and population standard deviations.
- The sample standard deviation is used when your data is a sample of a larger population.
- The population standard deviation is used when your data represents the entire population.
About Standard Deviation
Standard deviation is a measure of the amount of variation or dispersion of a set of values.
Definition
A low standard deviation indicates that the values tend to be close to the mean (also called the expected value) of the set, while a high standard deviation indicates that the values are spread out over a wider range.
Sample vs Population
Sample Standard Deviation (s): An estimate of the population standard deviation based on a sample. It divides by (n-1) where n is the sample size (Bessel's correction). Population Standard Deviation (σ): The exact standard deviation of an entire population. It divides by N where N is the population size.
Key Features
- Calculates both sample and population standard deviations.
- Supports various input formats.
Applications
- Risk assessment in finance (volatility).
- Quality control in manufacturing.
- Analyzing experimental data in science.