Geometric / harmonic / RMS means API

Compute the arithmetic, geometric (exp of mean log), harmonic (n/Σ(1/x)), and root-mean-square means of positive data, illustrating the AM ≥ GM ≥ HM inequality. Auditable: all four means returned. Answers 'geometric mean of these growth rates','harmonic mean','RMS of these values'.

Price$0.01per request

MethodPOST

Route/v1/calc/stat-special-means

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcstatisticsgeometric-meanharmonic-meanrmsaveragegrowth-ratemean

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

Integration docs

Example request

{
  "data": [
    1,
    2,
    4
  ]
}

Example response

{
  "arithmeticMean": 2.333333,
  "geometricMean": 2,
  "harmonicMean": 1.714286,
  "rootMeanSquare": 2.645751,
  "n": 3,
  "rating": "AM ≥ GM ≥ HM",
  "interpretation": "AM=2.3333 ≥ GM=2 ≥ HM=1.7143 (AM-GM-HM inequality)."
}

Input schema

{
  "type": "object",
  "required": [
    "data"
  ],
  "properties": {
    "data": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "description": "positive values (>0)",
      "examples": [
        [
          1,
          2,
          4
        ]
      ]
    }
  }
}

Output schema

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