Utilize our user-friendly Variance Calculator to accurately determine the spread of your data points around the mean. Easily input your dataset to find both population variance and sample variance, essential metrics for statistical analysis and understanding data distribution. Get instant results and enhance your data interpretation skills today!
Formula:
Variance Calculation Formulas
Population Variance (\(\sigma^2\))
σ2 = Σ (xi - μ)2⁄N
Sample Variance (\(s^2\))
s2 = Σ (xi - &bar;x)2⁄(n-1)
Variable Explanation:
- xi: An individual data point.
- μ (mu): The population mean.
- &bar;x (x-bar): The sample mean.
- N: The total number of data points in the population.
- n: The total number of data points in the sample.
- Σ (Sigma): Represents the summation of values.
The sample variance uses n-1 in the denominator (Bessel's correction) to provide an unbiased estimate of the population variance.