{"uid":"cap_cy1Tdk_K_VMbpn1Gd7-Oy","slug":"numora-z-score-computation-api-4fe3c980","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://numormo.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_Dj3ldLpxOCv1xkqf1hT8u","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, returning standardized values indicating how many standard deviations each data point is from the mean.","exampleAgentPrompt":"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.","exampleUseCases":[{"title":"Outlier detection in test scores","prompt":"I have a set of student exam scores — [45, 78, 82, 91, 39, 88, 76, 95, 41, 84] — can you compute the z-scores so I can identify which scores are statistical outliers?"},{"title":"Preprocessing data for ML model","prompt":"Before I feed this dataset into my model, I need to standardize these feature values using z-scores: [120, 340, 275, 198, 412, 155, 290, 365]. Can you calculate the z-scores for me?"},{"title":"Comparing performance across distributions","prompt":"I have monthly sales figures [22000, 31500, 28000, 19500, 35000, 27000, 24500] and I want to see which months performed best relative to our average — compute the z-scores for each value."}],"resultDescription":"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.","failureModes":["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)"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:04:18.032Z","isFirstParty":false}