{"uid":"cap_SlYcliyjGe8RzogbhZdwg","slug":"numora-z-score-computation-api-0cfe5836","name":"Numora Z-Score Computation API","description":"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.","url":"https://numomo.vercel.app/api/statistics/zscore","method":"POST","headers":{},"bodySchema":{"type":"object","required":["data"],"properties":{"data":{"type":"array"}}},"responseSchema":{"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"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_CLcFCyJcp17h9fnTw7y_j","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the z-score (standard score) for a dataset, indicating how many standard deviations each value is from the mean","exampleAgentPrompt":"Calculate the z-scores for this dataset: [72, 85, 90, 65, 78, 88, 95, 60, 70, 83] — I want to see which values are statistical outliers.","exampleUseCases":[{"title":"Outlier detection in test scores","prompt":"I have a set of student test scores — [55, 78, 82, 90, 45, 88, 76, 99, 61, 73] — can you compute the z-scores so I can flag which students scored unusually high or low?"},{"title":"Quality control in manufacturing","prompt":"We measured product weights in grams: [500.1, 499.8, 500.3, 501.5, 499.9, 502.1, 500.0, 498.7] — calculate the z-scores so I can identify which measurements are statistically anomalous."},{"title":"Financial return normalization","prompt":"I have monthly portfolio returns as percentages: [2.1, -0.5, 3.4, 1.2, -1.8, 4.0, 0.7, -0.3, 2.8, 1.5] — compute the z-scores so I can see which months had abnormally high or low performance relative to the average."}],"resultDescription":"Returns a JSON object with a success flag, a result object containing the computed z-scores (and likely mean and standard deviation of the input array), and a human-readable computation description string explaining what was calculated.","failureModes":["Empty data array returns validation error","Non-numeric values in array cause computation failure","Single-element array may cause division-by-zero for standard deviation","Malformed request body returns 400 error","Payment not processed results in 402 response","Very large arrays may cause timeout"],"whenToPreferThis":"Choose this endpoint when you need pure server-side z-score computation without any external data dependencies — ideal for AI agents that need deterministic, reproducible statistical normalization at low cost ($0.10 USDC). Prefer this over general-purpose code execution environments when you want a reliable, single-purpose math microservice with no setup overhead.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T00:41:46.287Z","isFirstParty":false}