# Statistics Calculator

> Calculate comprehensive descriptive statistics for a numeric data set.

Page: https://askcalculators.com/calculator/statistics-calculator/
Definition: https://askcalculators.com/calculator/statistics-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/statistics-calculator/schema.json
Version: 2.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/statistics-calculator/?values=10%2C+2%2C+38%2C+23%2C+38%2C+23%2C+21%2C+23

## Inputs
- values: Values; type=text; required; default=10, 2, 38, 23, 38, 23, 21, 23

## Outputs
- count: Count; format=integer
- sum: Sum; format=number
- mean: Arithmetic mean; format=number; primary
- geometricMean: Geometric mean; format=number
- median: Median; format=number
- mode: Mode; format=text
- minimum: Minimum; format=number
- maximum: Maximum; format=number
- range: Range; format=number
- populationStandardDeviation: Population standard deviation; format=number
- sampleStandardDeviation: Sample standard deviation; format=number
- populationVariance: Population variance; format=number
- sampleVariance: Sample variance; format=number
- sumSquares: Sum of squares; format=number

## Formula
x̄=Σx/n; σ²=Σ(x−μ)²/n; s²=Σ(x−x̄)²/(n−1); geometric mean=(Πx)^(1/n).

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.