{
  "software": "zoho-sheet",
  "function": "HARMEAN",
  "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/harmean",
  "passed": 3,
  "total": 3,
  "cases": [
    {
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "variables": {
        "X": [
          1,
          2,
          3,
          4,
          5
        ]
      },
      "expected": 2.18978102189781,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "variables": {
        "X": [
          2,
          4,
          8,
          16
        ]
      },
      "expected": 4.266666666666667,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "variables": {
        "X": [
          30,
          60,
          90
        ]
      },
      "expected": 49.09090909090909,
      "numeric": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    }
  ],
  "independent_results": [
    {
      "case": 382,
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "actual_independent_model": 2.18978102189781,
      "expected": 2.18978102189781,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "case": 383,
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "actual_independent_model": 4.266666666666667,
      "expected": 4.266666666666667,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    },
    {
      "case": 384,
      "software": "zoho-sheet",
      "function": "HARMEAN",
      "expression": "HARMEAN(X)",
      "actual_independent_model": 49.09090909090909,
      "expected": 49.09090909090909,
      "passed": true,
      "scope": "recovered positive-input example; HARMEAN vendor example discrepancy remains flagged"
    }
  ]
}