Variance Calculator
Calculate the sample and population variance of a dataset.
How to Use
- Enter a sequence of numbers separated by commas, spaces, or newlines.
- Click 'Calculate' to generate both sample and population variances.
- The sample variance is used when your data is a sample of a larger population.
- The population variance is used when your data represents the entire population.
About Variance
Variance is the expectation of the squared deviation of a random variable from its population mean or sample mean. Variance is a measure of dispersion.
Definition
It measures how far a set of numbers is spread out from their average value. It is the square of the standard deviation.
Sample vs Population
Sample Variance (s²): An estimate of the population variance. It divides the sum of squared differences by (n-1). Population Variance (σ²): The exact variance of an entire population. It divides the sum of squared differences by N.
Key Features
- Calculates both sample and population variances.
- Supports floating-point numbers.
Applications
- Statistical modeling.
- Portfolio theory in finance.
- Machine learning feature scaling.