Descriptive statistics summary API

Compute a full descriptive summary of a dataset: mean, median, min/max/range, sample variance & sd, SEM, quartiles & IQR, sum, sample skewness, excess kurtosis, and coefficient of variation, with a symmetry rating. Auditable: every statistic returned. Answers 'summarize this dataset','mean median sd and IQR','is this data skewed'.

Price$0.01per request

MethodPOST

Route/v1/calc/stat-descriptive

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcstatisticsdescriptivesummarymeanmedianskewnessiqr

API URLhttps://x402.hexl.dev/v1/calc/stat-descriptive

Integration docs

Example request

{
  "data": [
    2,
    4,
    4,
    4,
    5,
    5,
    7,
    9
  ]
}

Example response

{
  "n": 8,
  "mean": 5,
  "median": 4.5,
  "min": 2,
  "max": 9,
  "range": 7,
  "variance": 4.571429,
  "sd": 2.13809,
  "standardError": 0.755929,
  "q1": 4,
  "q3": 5.5,
  "iqr": 1.5,
  "sum": 40,
  "skewness": 0.8185,
  "excessKurtosis": -0.2187,
  "coefficientOfVariation": 0.4276,
  "rating": "right-skewed",
  "interpretation": "n=8, mean=5, median=4.5, sd=2.1381, IQR=1.5."
}

Input schema

{
  "type": "object",
  "required": [
    "data"
  ],
  "properties": {
    "data": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "description": ">=1 value",
      "examples": [
        [
          2,
          4,
          4,
          4,
          5,
          5,
          7,
          9
        ]
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}