Statistics Calculator
Paste numbers separated by commas or spaces and get a complete statistical summary: count, sum, mean, median, mode, min, max, range, population and sample variance, standard deviation, geometric mean and sum of squares — with the full working shown.
TheCalculators — Statistics Calculator
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Mean (x̄)
22.25
8 values · sum 178 · median 23
Full summary
- Count (n)
- 8
- Sum (Σx)
- 178
- Mean (x̄)
- 22.25
- Median
- 23
- Mode
- 23
- Min
- 2
- Max
- 38
- Range
- 36
- Population variance (σ²)
- 132.4375
- Population std dev (σ)
- 11.508149
- Sample variance (s²)
- 151.357143
- Sample std dev (s)
- 12.302729
- Sum of squares (Σx²)
- 5,020
- Geometric mean
- 17.119852
How these were computed
- 1Sort the data2, 10, 21, 23, 23, 23, 38, 38
- 2Meanx̄ = Σx / n = 178 / 8 = 22.25
- 3MedianAverage of the two middle values of 8 sorted numbers = 23
- 4Population varianceσ² = Σ(x − x̄)² / n = 132.4375
- 5Population std devσ = √σ² = √132.4375 = 11.508149
- 6Sample std devs = √(Σ(x − x̄)² / (n − 1)) = √151.357143 = 12.302729
Deviations from the mean
Data values
Most useful next
Formula
x̄ = Σx/n · σ = √(Σ(x−x̄)²/n) · s = √(Σ(x−x̄)²/(n−1)) · GM = (x₁·x₂·…·xₙ)^(1/n)
Pro tips
- • Use σ (population) when your data is the whole group; use s (sample) when it is a sample of a larger population.
- • The mode is only meaningful for discrete/repeated values.
- • Geometric mean requires all positive values.
FAQ
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