Enter a data set to calculate its central tendency, spread, and sorted order in one pass. The results mirror the descriptive-statistics summary on calculator.net, including both population and sample measurements.
Formula
For N values, the arithmetic mean is Σx / N. The median is the middle sorted
value (or the average of the two middle values), and the range is
maximum − minimum.
Population variance divides squared deviations by N, while sample variance uses N − 1:
σ² = Σ(x − μ)² / N
s² = Σ(x − x̄)² / (N − 1)
Standard deviation is the square root of variance. For positive values, the
geometric mean is (x1 × x2 × … × xN)^(1/N).
Examples
Calculator.net default data
For 10, 2, 38, 23, 38, 23, 21, 23, the count is 8, sum is 178,
mean is 22.25, median and mode are both 23, and the range is 36.
The population standard deviation is 11.508149286484; the sample standard
deviation is 12.302729081677.
Population versus sample
If those eight values are every member of the group, use population variance 132.4375. If they are a sample, use sample variance 151.35714285714.