Stats Describe

{
  "asOf": "2026-10-11T06:26:07.630Z",
  "coefficientOfVariationPct": 42.7618,
  "count": 8,
  "degraded": false,
  "disclaimer": "Screening signal computed from the named public source. Not financial, legal or investment advice; provided as is. Verify at the source before acting.",
  "excessKurtosisSample": 0.940625,
  "iqr": 1.5,
  "max": 9,
  "mean": 5,
  "median": 4.5,
  "min": 2,
  "modes": [
    4
  ],
  "notChecked": [
    "whether the data are a sample or the whole population (both spreads are shown)",
    "distribution shape beyond skewness and kurtosis",
    "…1 more"
  ],
  "outlierFences": {
    "high": 7.75,
    "low": 1.75
  },
  "outliers": [
    9
  ],
  "q1": 4,
  "q3": 5.5,
  "range": 7,
  "reasons": [
    "Quartiles use linear interpolation (Excel QUARTILE.INC, NumPy default).",
    "Outliers are values beyond 1.5 times the interquartile range from the quartiles."
  ],
  "sdPopulation": 2,
  "sdSample": 2.1380899353,
  "skewnessSample": 0.818488,
  "source": "computed locally",
  "standardErrorMean": 0.755928946018,
  "sum": 40,
  "summary": "n=8: mean 5, median 4.5, sample SD 2.13809, range 2 to 9; 1 outlier(s) by the 1.5 IQR rule: 9.",
  "variancePopulation": 4,
  "varianceSample": 4.57142857143,
  "verdict": "OUTLIERS_PRESENT"
}

# bash or zsh: see the payment challenge. Nothing is charged.
curl -sS -g -i 'https://math-stats.x402tookit.com/stats-describe?values=2%2C4%2C4%2C4%2C5%2C5%2C7%2C9'

# x402 v2 sends the challenge base64-encoded in the PAYMENT-REQUIRED header (v1 sends it in the body).
# To read the header:
curl -sS -g -o /dev/null -D - 'https://math-stats.x402tookit.com/stats-describe?values=2%2C4%2C4%2C4%2C5%2C5%2C7%2C9' \
  | grep -i '^payment-required:' | cut -d' ' -f2 | tr -d '\r' | base64 --decode

// npm i @x402/fetch @x402/evm viem
import { wrapFetchWithPayment, x402Client } from "@x402/fetch";
import { registerExactEvmScheme } from "@x402/evm/exact/client";
import { privateKeyToAccount } from "viem/accounts";

// Pays at most $0.02 per call.
const client = new x402Client().setSpendControls({ maxAmountPerPayment: "$0.02" });
registerExactEvmScheme(client, { signer: privateKeyToAccount(process.env.EVM_PRIVATE_KEY) });
const pay = wrapFetchWithPayment(fetch, client);

// Not sure it's safe to pay? ToolVet checks it first for $0.005. Pay for that from a separate
// client: this one is capped at $0.02 per payment. GET https://toolvet.app/api/v1/check?url=https%3A%2F%2Fmath-stats.x402tookit.com%2Fstats-describe
const res = await pay("https://math-stats.x402tookit.com/stats-describe?values=2%2C4%2C4%2C4%2C5%2C5%2C7%2C9");
console.log(res.status, await res.text());

# pip install "x402[requests,evm]"
import os
from eth_account import Account
from x402 import x402ClientSync
from x402.http.clients import x402_requests
from x402.mechanisms.evm import EthAccountSigner
from x402.mechanisms.evm.exact.register import register_exact_evm_client

# Pays at most $0.02 per call.
client = x402ClientSync().set_spend_controls({"max_amount_per_payment": "$0.02"})
register_exact_evm_client(client, EthAccountSigner(Account.from_key(os.environ["EVM_PRIVATE_KEY"])))

with x402_requests(client) as session:
    res = session.get("https://math-stats.x402tookit.com/stats-describe?values=2%2C4%2C4%2C4%2C5%2C5%2C7%2C9")
    print(res.status_code, res.text)