{
  "x402Version": 2,
  "id": 36299,
  "slug": "36299",
  "resource": "https://api.duoleads.com/v1/num/stats",
  "description": "Descriptive statistics for a supplied numeric array in one call: count, sum, mean, median, mode, variance and standard deviation with variance and standard deviation honouring ddof (default 1, the sample form; 0 gives the population form) and always-population *_population fields, min, max, range, the quartiles and interquartile range, skewness, kurtosis, and any requested percentiles. Percentiles use a named interpolation method so the result is reproducible rather than implementation-defined.",
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  "outputSchema": {
    "properties": {
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        "properties": {
          "data": {
            "properties": {
              "ddof": {
                "type": "integer"
              },
              "iqr": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "kurtosis_excess": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "max": {
                "type": "number"
              },
              "mean": {
                "type": [
                  "number",
                  "null"
                ]
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              "median": {
                "type": [
                  "number",
                  "null"
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                "type": "string"
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              "min": {
                "type": "number"
              },
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                "items": {
                  "type": "number"
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                "type": [
                  "array",
                  "null"
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              "n": {
                "type": "integer"
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              "outliers_tukey": {
                "items": {
                  "type": "number"
                },
                "type": "array"
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              "percentiles": {
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                    "number",
                    "null"
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                  "null"
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              "range": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "skewness": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "stdev": {
                "type": [
                  "number",
                  "null"
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              },
              "stdev_population": {
                "type": [
                  "number",
                  "null"
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              "sum": {
                "type": [
                  "number",
                  "null"
                ]
              },
              "variance": {
                "type": [
                  "number",
                  "null"
                ]
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              "variance_population": {
                "type": [
                  "number",
                  "null"
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              "percentiles",
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        },
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              "iqr": 2,
              "kurtosis_excess": -1.1999999999999993,
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              "mean": 3,
              "median": 3,
              "method": "linear",
              "min": 1,
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              "n": 5,
              "outliers_tukey": [],
              "percentiles": {
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                "50": 3,
                "75": 4
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              "q3": 4,
              "range": 4,
              "skewness": 0,
              "stdev": 1.5811388300841898,
              "stdev_population": 1.4142135623730951,
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              "variance": 2.5,
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              "computed_at": "2026-09-28T12:00:00.000Z",
              "deterministic": true,
              "disclaimer": "Factual output of a deterministic computation over public data. Provided as is, with no warranty of accuracy, completeness or availability. Not investment, financial, legal, tax, medical or any other professional advice, and not a recommendation. Verify before relying on it. Terms: https://api.duoleads.com/terms",
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                    "type": "string"
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                      "lower",
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                    "maxLength": 64,
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                    "type": "string"
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                      "iqr": {
                        "type": [
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                      "kurtosis_excess": {
                        "type": [
                          "number",
                          "null"
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                          "null"
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                          "null"
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                        "type": "number"
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                      "mode": {
                        "items": {
                          "type": "number"
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                        "type": [
                          "array",
                          "null"
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                        "type": "integer"
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                      "outliers_tukey": {
                        "items": {
                          "type": "number"
                        },
                        "type": "array"
                      },
                      "percentiles": {
                        "additionalProperties": {
                          "type": [
                            "number",
                            "null"
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                        "description": "keyed by caller-chosen names",
                        "type": "object"
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                          "number",
                          "null"
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                      "q3": {
                        "type": [
                          "number",
                          "null"
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                      "range": {
                        "type": [
                          "number",
                          "null"
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                      },
                      "skewness": {
                        "type": [
                          "number",
                          "null"
                        ]
                      },
                      "stdev": {
                        "type": [
                          "number",
                          "null"
                        ]
                      },
                      "stdev_population": {
                        "type": [
                          "number",
                          "null"
                        ]
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                      "sum": {
                        "type": [
                          "number",
                          "null"
                        ]
                      },
                      "variance": {
                        "type": [
                          "number",
                          "null"
                        ]
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                      "variance_population": {
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                          "number",
                          "null"
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                      "variance",
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                      "variance_population",
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                      "min",
                      "max",
                      "range",
                      "q1",
                      "q3",
                      "iqr",
                      "skewness",
                      "kurtosis_excess",
                      "percentiles",
                      "method",
                      "outliers_tukey"
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                    "type": "object"
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                  "meta": {
                    "properties": {
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                        "description": "RFC 3339 UTC with milliseconds",
                        "type": "string"
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                      "deterministic": {
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                      "disclaimer": {
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                      "price_usd": {
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                            "published"
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    "no-api-key",
    "num",
    "numbers",
    "statistics",
    "bazaar"
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    "uniquePayers30d": 1,
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              "values": "1,2,3,4,5"
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                "iqr": 2,
                "kurtosis_excess": -1.1999999999999993,
                "max": 5,
                "mean": 3,
                "median": 3,
                "method": "linear",
                "min": 1,
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                "n": 5,
                "outliers_tukey": [],
                "percentiles": {
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                "q3": 4,
                "range": 4,
                "skewness": 0,
                "stdev": 1.5811388300841898,
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              "meta": {
                "computed_at": "2026-09-28T12:00:00.000Z",
                "deterministic": true,
                "disclaimer": "Factual output of a deterministic computation over public data. Provided as is, with no warranty of accuracy, completeness or availability. Not investment, financial, legal, tax, medical or any other professional advice, and not a recommendation. Verify before relying on it. Terms: https://api.duoleads.com/terms",
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              "route": "/v1/num/stats",
              "version": "1.0.0"
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                      "description": "Delta degrees of freedom for variance/stdev: 1 (default, sample, n-1) or 0 (population, n). The *_population fields are always population.",
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                      "pattern": "^[+-]?\\d+$",
                      "type": "string"
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                        "ddof": {
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                        "iqr": {
                          "type": [
                            "number",
                            "null"
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                        "kurtosis_excess": {
                          "type": [
                            "number",
                            "null"
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                        "mean": {
                          "type": [
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                        "median": {
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                          "type": [
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                        "outliers_tukey": {
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                          "type": "array"
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                        "percentiles": {
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                              "null"
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                        "skewness": {
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                        "stdev": {
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                        "stdev_population": {
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                          "description": "RFC 3339 UTC with milliseconds",
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                        "price_usd",
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    "submitted_at": "2026-10-14T01:15:01.050Z"
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        "mean": 0,
        "median": 0,
        "method": "string",
        "min": 0,
        "mode": [
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        "n": 0,
        "outliers_tukey": [
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        "percentiles": {},
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      "meta": {
        "computed_at": "string",
        "deterministic": true,
        "disclaimer": "string",
        "price_usd": "string",
        "request_id": "string",
        "sources": [
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      "ok": null,
      "route": null,
      "version": "string"
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}