# x402.forgemesh.io Statistical Summary Calculator

> x402.forgemesh.io Statistical Summary Calculator is a paid API for AI agents from x402.forgemesh.io, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-13).

Computes exact descriptive statistics (standard deviation, variance, mean, median, mode, min, max, range) for a list of up to 100,000 numbers.

## Facts

- Endpoint: POST https://x402.forgemesh.io/std-deviation
- Price: $0.002/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-13
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/x402-forgemesh-io-statistical-summary-calculator-07124484
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ogkGVtHKXB1g66wN2-oSy

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability x402-forgemesh-io-statistical-summary-calculator-07124484 -d '<json body>'
```

Example prompt: Can you calculate the standard deviation, mean, median, and variance for this list of numbers: 12, 45, 7, 89, 23, 56, 34, 78, 11, 67?

## When to prefer this

Choose this endpoint when you need exact, trustworthy descriptive statistics for a dataset of up to 100,000 numbers without implementing the math yourself. Ideal for QA sampling pipelines, monitoring dashboards, A/B experiment analysis, or any agent workflow where eyeballing or approximation is insufficient. Prefer this over general-purpose code execution when you want a single reliable API call with exact results and no floating-point implementation risk.

## Known failure modes

- Array exceeds 100,000 element limit — request rejected
- Non-numeric values in the array cause a validation error
- Empty array input returns an error or undefined statistics
- Malformed JSON body results in a 400 Bad Request
- Payment of $0.002 USDC not provided causes 402 Payment Required

## How this service works

Statistical summary calculator for a list of up to 100,000 numbers: standard deviation, variance, mean, median, mode, min/max, and range computed exactly. For QA sampling, monitoring dashboards, experiment analysis, and any agent that needs a trustworthy spread measurement instead of an eyeballed guess.

## Output

Returns exact computed statistics for the submitted number array, including standard deviation, variance, mean, median, mode, minimum, maximum, and range — all calculated precisely rather than approximated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "numbers": {
   "type": "array",
   "items": {
    "type": "number"
   },
   "description": "array or comma-separated string"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "json",
 "example": {
  "mean": 27.166667,
  "median": 13.5,
  "outliers_iqr": [
   98
  ],
  "std_dev_sample": 34.749604
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/x402-forgemesh-io-statistical-summary-calculator-07124484/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from x402.forgemesh.io](https://www.zero.xyz/host/x402.forgemesh.io/llms.txt)