{"uid":"cap_F7itsRlmP6-HloRxpG-C3","slug":"signaldesk-ai-population-variance-calculator-70baf625","name":"SignalDesk AI Population Variance Calculator","description":"Evidence-backed autonomous AI jobs and paid data tools. Queue/D1/cron run outside the chat; free quotas and bounded execution apply.","url":"https://x402-agent.kariguetoazul.workers.dev/api/stats/population-variance?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"values":{"type":"array","items":{"type":"number","maximum":1000000000000000,"minimum":-1000000000000000},"maxItems":1000,"minItems":1,"description":"Up to 1000 finite observations."}}},"responseSchema":{"type":"json","example":{"variance":0.6666666666666666,"denominator":3}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.001","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.001/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.001","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_9FHrFqtzkQdsv26rE9DpP","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.001","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the population variance (and denominator) for a given array of up to 1000 numeric observations","exampleAgentPrompt":"Can you calculate the population variance for these 5 measurements: 2, 4, 4, 4, 5, 5, 7, 9?","exampleUseCases":[{"title":"Quality control measurement spread","prompt":"I have sensor readings from our production line — 102.3, 98.7, 101.1, 99.5, 103.2, 100.0 — can you calculate the population variance so I can assess consistency?"},{"title":"Financial returns volatility check","prompt":"Here are daily returns for a stock over the past week: 0.012, -0.005, 0.008, 0.021, -0.003, 0.015, -0.009 — what's the population variance of those returns?"},{"title":"Student score dispersion analysis","prompt":"I've got test scores for my class of 10 students: 72, 85, 90, 68, 78, 95, 88, 74, 82, 79 — calculate the population variance so I can see how spread out the results are."}],"resultDescription":"Returns a JSON object containing the computed population variance as a float (e.g. 0.6666...) and the denominator (N, the count of observations) used in the calculation, confirming it is population variance rather than sample variance.","failureModes":["Empty or missing 'values' array returns a validation error","More than 1000 items in the array exceeds maxItems limit and is rejected","Non-numeric or non-finite values (NaN, Infinity) may be rejected or cause errors","Values outside the allowed range (-1e15 to 1e15) will be rejected","Insufficient USDC balance or x402 payment failure results in a 402 Payment Required response","Network timeout on Cloudflare Worker edge node"],"whenToPreferThis":"Choose this endpoint when you need a quick, inexpensive population variance computation (not sample variance) for up to 1000 numeric values without running local code. It is ideal for AI agents that need a verifiable, server-side statistical result billed per-call at $0.001 USDC via x402. Prefer this over client-side computation when auditability or reproducibility of the result matters, or when the agent environment lacks math libraries.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-13T00:41:59.543Z","isFirstParty":false,"canonicalSlug":"signaldesk-ai-population-variance-calculator-70baf625"}