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Variance Calculator

Calculate variance of sample or population dataset. Measure data spread, deviation from mean, and statistical variability with population and sample variance formulas.

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Variance Results

Sample Variance (sĀ²)
27.4286
Sample Standard Deviation (s)
5.2372
Mean
18
Count
8
Sum
144

Sample variance is 27.4286. This estimates the population variance using Bessel's correction (N-1).

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Understanding Variance

Variance measures the spread of data points from their mean. It quantifies how much the values in a dataset differ from the average value.

How to Calculate Variance

  1. Calculate the mean (average)
  2. Subtract the mean from each value (deviations)
  3. Square each deviation
  4. Find the average of squared deviations (this is variance)

Sample vs Population Variance

  • Population Variance (ĻƒĀ²): Divide by N. Use when you have all data.
  • Sample Variance (sĀ²): Divide by N-1. Use for sample data to estimate population.

Frequently Asked Questions

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