Outlier Detection (IQR & Z-Score)

x402

Outlier Detection (IQR & Z-Score) is a paid API for AI agents from agent402.tools, paid per call via x402, $0.001/call, status unknown (last checked 2026-09-14).

Flags outliers in a numeric series using IQR (Tukey fences) or z-score method, returning outlier values, their indices, and the thresholds applied.

Price / call$0.001

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Success—

StatusUnknown

How this service works

Flag outliers in a numeric series using either the IQR rule (Tukey fences at 1.5·IQR - robust, default) or z-score (|z| > threshold - assumes normality). Returns the outlier values + their indices + the thresholds used so you can decide whether to trust them.

Output

Returns the outlier values, their zero-based indices in the input array, and the computed fence or threshold values (e.g., lower/upper Tukey fences for IQR, or z-score cutoff) so the caller can understand why each point was flagged.

Example use cases

Example prompt

“Flag any outliers in this list of daily temperatures using the IQR method with a 1.5 multiplier: [72, 74, 71, 300, 73, 70, 68, 72, 999, 74, 71].”

Technical details

Endpoint

POSThttps://agent402.tools/api/outliers

When to prefer

Choose this endpoint when you need a quick, stateless outlier check on a numeric series without setting up a local stats library. Prefer IQR mode for skewed or non-Gaussian data; prefer zscore mode when the data is approximately normal. Ideal for data cleaning pipelines, anomaly alerting, or pre-processing steps inside an AI agent workflow.

Side effects

Fewer than 4 values provided — returns validation error
Array exceeds 10,000 elements — returns size limit error
Non-numeric values in array — returns type error
Invalid method string (not 'iqr' or 'zscore') — returns parameter error
Empty array — returns validation error

Input

Schema · Request body

Field	Type	Description
method	string	"iqr" (default) or "zscore"
values	array	Numeric series (max 10000, at least 4 values)
threshold	number	IQR multiplier (default 1.5) or z-score cutoff (default 3)

Output

Schema · Response

{
  "type": "json",
  "example": {
    "n": 10,
    "method": "iqr",
    "outliers": [
      {
        "index": 9,
        "value": 100
      }
    ],
    "threshold": 1.5,
    "lowerBound": -4.625,
    "upperBound": 14.375,
    "outlierCount": 1
  }
}

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How this service works

Output

Technical details

Endpoint

POSThttps://agent402.tools/api/outliers

When to prefer

Side effects

Fewer than 4 values provided — returns validation error
Array exceeds 10,000 elements — returns size limit error
Non-numeric values in array — returns type error
Invalid method string (not 'iqr' or 'zscore') — returns parameter error
Empty array — returns validation error

Input

Schema · Request body

Field	Type	Description
method	string	"iqr" (default) or "zscore"
values	array	Numeric series (max 10000, at least 4 values)
threshold	number	IQR multiplier (default 1.5) or z-score cutoff (default 3)

Output

Schema · Response

{
  "type": "json",
  "example": {
    "n": 10,
    "method": "iqr",
    "outliers": [
      {
        "index": 9,
        "value": 100
      }
    ],
    "threshold": 1.5,
    "lowerBound": -4.625,
    "upperBound": 14.375,
    "outlierCount": 1
  }
}