# Numora Z-Score Computation API

> Numora Z-Score Computation API is a paid API for AI agents from numormo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-14).

Computes the Z-score (standard score) for a dataset, returning standardized values indicating how many standard deviations each data point is from the mean.

## Facts

- Endpoint: POST https://numormo.vercel.app/api/statistics/zscore
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-z-score-computation-api-4fe3c980
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_cy1Tdk_K_VMbpn1Gd7-Oy

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 numora-z-score-computation-api-4fe3c980 -d '<json body>'
```

Example prompt: Calculate the z-scores for this dataset: [72, 85, 90, 60, 78, 95, 55, 88, 76, 83] — I want to see how many standard deviations each value is from the mean.

## When to prefer this

Choose this endpoint when you need a serverless, dependency-free z-score computation that requires no API key setup beyond x402 micropayments — ideal for AI agents that need on-demand statistical standardization without maintaining a statistics library or running a data science environment. Best for quick, isolated computations on small to medium datasets where spinning up a full data processing pipeline is overkill.

## Known failure modes

- Empty data array returns validation error
- Single-element array produces undefined z-score (zero standard deviation)
- Non-numeric values in the array cause a type error
- Insufficient funds or payment failure returns 402 error
- Array with all identical values yields division-by-zero (all z-scores = 0 or NaN)

## How this service works

100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.

## Output

Returns a JSON object with a success flag, a result object containing the array of z-scores corresponding to each input value (and likely summary stats like mean and standard deviation), and a human-readable computation description string explaining what was calculated.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "data"
 ],
 "properties": {
  "data": {
   "type": "array"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "success",
  "result",
  "computation"
 ],
 "properties": {
  "result": {
   "type": "object",
   "description": "Computation result varies by endpoint"
  },
  "success": {
   "type": "boolean",
   "description": "Always true on success"
  },
  "computation": {
   "type": "string",
   "description": "Human-readable description of what was computed"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-z-score-computation-api-4fe3c980/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numormo.vercel.app](https://www.zero.xyz/host/numormo.vercel.app/llms.txt)
