{
  "id": "statistics-calculator",
  "version": "2.0.0",
  "name": "Statistics Calculator",
  "shortName": "Statistics",
  "description": "Calculate comprehensive descriptive statistics for a numeric data set.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "statistics",
    "descriptive statistics",
    "geometric mean",
    "population standard deviation",
    "sample standard deviation",
    "variance",
    "sum of squares"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "migrated",
  "migratedDate": "2026-08-25",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/statistics-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "2.0.0",
    "referenceCoverage": "references-listed",
    "releaseTestScope": "Flagship reference cases are specified in scripts/test-v20-1.mjs; consult release evidence for executed results.",
    "historicalMetadataDate": "2026-08-25",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/statistics-calculator/",
    "definition": "/calculator/statistics-calculator/definition.json",
    "schema": "/calculator/statistics-calculator/schema.json",
    "llms": "/calculator/statistics-calculator/llms.txt",
    "legacyDefinition": "/calculator/statistics-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/statistics-calculator/?values=10%2C+2%2C+38%2C+23%2C+38%2C+23%2C+21%2C+23",
  "queryParameters": {
    "values": {
      "label": "Values",
      "type": "text",
      "required": true,
      "default": "10, 2, 38, 23, 38, 23, 21, 23"
    }
  },
  "inputs": [
    {
      "id": "values",
      "label": "Values",
      "type": "text",
      "required": true,
      "defaultValue": "10, 2, 38, 23, 38, 23, 21, 23",
      "placeholder": "10, 2, 38, 23",
      "help": "Separate values with commas, spaces, or semicolons.",
      "width": "full"
    }
  ],
  "outputs": [
    {
      "id": "count",
      "label": "Count",
      "format": "integer"
    },
    {
      "id": "sum",
      "label": "Sum",
      "format": "number",
      "digits": 6
    },
    {
      "id": "mean",
      "label": "Arithmetic mean",
      "format": "number",
      "primary": true,
      "digits": 6
    },
    {
      "id": "geometricMean",
      "label": "Geometric mean",
      "format": "number",
      "digits": 6
    },
    {
      "id": "median",
      "label": "Median",
      "format": "number",
      "digits": 6
    },
    {
      "id": "mode",
      "label": "Mode",
      "format": "text"
    },
    {
      "id": "minimum",
      "label": "Minimum",
      "format": "number",
      "digits": 6
    },
    {
      "id": "maximum",
      "label": "Maximum",
      "format": "number",
      "digits": 6
    },
    {
      "id": "range",
      "label": "Range",
      "format": "number",
      "digits": 6
    },
    {
      "id": "populationStandardDeviation",
      "label": "Population standard deviation",
      "format": "number",
      "digits": 6
    },
    {
      "id": "sampleStandardDeviation",
      "label": "Sample standard deviation",
      "format": "number",
      "digits": 6
    },
    {
      "id": "populationVariance",
      "label": "Population variance",
      "format": "number",
      "digits": 6
    },
    {
      "id": "sampleVariance",
      "label": "Sample variance",
      "format": "number",
      "digits": 6
    },
    {
      "id": "sumSquares",
      "label": "Sum of squares",
      "format": "number",
      "digits": 6
    }
  ],
  "formula": {
    "expression": "x̄=Σx/n; σ²=Σ(x−μ)²/n; s²=Σ(x−x̄)²/(n−1); geometric mean=(Πx)^(1/n)."
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "values": "10, 2, 38, 23, 38, 23, 21, 23"
      }
    }
  ],
  "sources": [
    {
      "label": "Calculator.net reference calculator",
      "url": "https://www.calculator.net/statistics-calculator.html"
    },
    {
      "label": "NIST: confidence limits for the mean; assumptions and t versus z",
      "url": "https://www.itl.nist.gov/div898/handbook/eda/section3/eda352.htm"
    }
  ]
}