{
  "software": "zoho-sheet",
  "function": "GEOMEAN",
  "native_application_execution": false,
  "checked_date": "2026-10-12",
  "method": "Independent mathematical/text-processing models, not Apple Numbers or Zoho Sheet execution; random tests check documented bounds/transforms, not randomness.",
  "official_function_reference": "https://help.zoho.com/portal/en/kb/sheet/functions/statistical/articles/geomean",
  "passed": 3,
  "total": 3,
  "cases": [
    {
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "variables": {
        "X": [
          1,
          2,
          3,
          4,
          5
        ]
      },
      "expected": 2.605171084697352,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "variables": {
        "X": [
          2,
          4,
          8,
          16
        ]
      },
      "expected": 5.656854249492381,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "variables": {
        "X": [
          1.1,
          0.9,
          1.2,
          0.95
        ]
      },
      "expected": 1.0307064919643936,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    }
  ],
  "independent_results": [
    {
      "case": 379,
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "actual_independent_model": 2.6051710846973517,
      "expected": 2.605171084697352,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "case": 380,
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "actual_independent_model": 5.656854249492381,
      "expected": 5.656854249492381,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "case": 381,
      "software": "zoho-sheet",
      "function": "GEOMEAN",
      "expression": "GEOMEAN(X)",
      "actual_independent_model": 1.0307064919643936,
      "expected": 1.0307064919643936,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    }
  ]
}