Average and descriptive statistics
Summarize a number list with average, median, modes, spread and optional weighted mean.
Your inputs
The editable example is illustrative. Enter your own dimensions, operating data, prices, and fees. Results update as you edit.
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Your result
Complete the inputs to see your result.
How it works
- Arithmetic mean = Σ x ÷ n; Population standard deviation = √(Σ(x−Arithmetic mean)² ÷ n); Sample standard deviation = √(Σ(x−Arithmetic mean)² ÷ (n−1)); Weighted mean = Σ wx ÷ Σ w
- Worked example: 1;2;2;5 ⇒ Sum 10; Arithmetic mean 2.5; Median 2; All tied modes 2; Range 4; Population standard deviation 1.5
- Supported input limits: Numbers (semicolon, space or line separated; decimal point): n ≤ 250000; Matching weights (same separators): n ≤ 250000
Assumptions and limitations
Choose the mode and enter only its required values. Division by zero is rejected or shown as undefined. Integer bases and fractions retain exact integer arithmetic; rounded decimal displays do not replace it. List statistics describe the supplied observations only; weighted mode changes the mean, not the order statistics.
Sources
- OpenStax — spread and standard deviation Sources reviewed: 2026-10-06
