Standard error of the mean API

Compute the standard error of the mean SEM = s/√n from either a raw dataset or summary statistics (sd and n). Auditable: returns the sd and n used. Answers 'standard error of the mean','SEM for sd 10 and n 100','standard error from this data'.

Price$0.01per request

MethodPOST

Route/v1/calc/stat-standard-error

StatusLive

MIME typeapplication/json

Rate limit120/minute

CacheNo cache

calcstatisticsstandard-errorsemmeanprecisionsamplingdispersion

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

Integration docs

Example request

{
  "sd": 10,
  "n": 100
}

Example response

{
  "standardError": 1,
  "sd": 10,
  "n": 100,
  "interpretation": "SEM = sd/√n = 1."
}

Input schema

{
  "type": "object",
  "required": [],
  "properties": {
    "data": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "description": "raw data (>=2)"
    },
    "sd": {
      "type": "number",
      "description": "or supply sd",
      "examples": [
        10
      ]
    },
    "n": {
      "type": "number",
      "description": "with n",
      "examples": [
        100
      ]
    }
  }
}

Output schema

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