{ "category": "Statistical functions", "display_name": "AVERAGEIF", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.AVERAGEIF", "implementation_state": { "answer_bank": null, "detail": "Recorded: 16 workbook cells.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "matches", "state_label": "Matches every recorded Excel answer", "summary": "Matches all 16 recorded answers", "workbook_corpus": { "cells": 17, "matched": 16, "pending": 1 } }, "implementations": [ { "commit": "9e1884369a678158dd82d3d74188daf986995e87", "flavour": "excel-compatibility-candidate", "language": "Rust", "name": "CalcFunc", "own_code": [ "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/conditional.rs#L169-L169", "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/conditional.rs#L229-L239" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/aggregate::reader", "catalogue/aggregate::read_reference", "catalogue/comparison::numbers", "catalogue/comparison::in_band", "catalogue/comparison::Rounded::up", "catalogue/comparison::Roundings::of", "catalogue/comparison::Roundings::disjoint", "catalogue/comparison::texts", "catalogue/comparison/collation::compare", "catalogue/comparison/collation::weighed", "catalogue/comparison/collation::measured_iteration_extension", "catalogue/comparison/sort_key::table", "catalogue/comparison/sort_key::decode64", "catalogue/comparison/sort_key::Reader::byte", "catalogue/comparison/sort_key::Reader::varint", "catalogue/comparison/sort_key::Reader::done", "catalogue/comparison/sort_key::in_ranges", "catalogue/comparison/sort_key::build", "catalogue/comparison/sort_key::han_base", "catalogue/comparison/sort_key::derive", "catalogue/comparison/sort_key::shared_jamo_tails", "catalogue/comparison/sort_key::ordinary_jamo_prefix", "catalogue/comparison/sort_key::independent_jamo_suffix", "catalogue/comparison/sort_key::jamo_leading_primary", "catalogue/comparison/sort_key::leading_order", "catalogue/comparison/sort_key::Before::separate_special", "catalogue/comparison/sort_key::Gathered::kana", "catalogue/comparison/sort_key::Gathered::unit", "catalogue/comparison/sort_key::parts", "catalogue/comparison/sort_key::diacritic_order", "catalogue/comparison/sort_key::diacritics", "catalogue/conditional::conditional", "catalogue/conditional::total", "catalogue/conditional::mean", "catalogue/conditional::Range::shape", "catalogue/conditional::range", "catalogue/conditional::single", "catalogue/conditional::Plan::each_matched", "catalogue/conditional::row", "catalogue/conditional::offset", "catalogue/conditional::read_range", "catalogue/conditional::verdicts", "catalogue/conditional::target_cells", "catalogue/conditional::used", "catalogue/conditional::Match::of", "catalogue/conditional::Match::negated", "catalogue/conditional::Op::holds", "catalogue/conditional::Op::is_equality", "catalogue/conditional::spells", "catalogue/conditional::criterion", "catalogue/conditional::rank", "catalogue/conditional::criterion_text", "catalogue/conditional::decided", "catalogue/conditional::Criterion::verdict", "catalogue/conditional::equality", "catalogue/conditional::is_surrogate", "catalogue/conditional::wildcard", "decimal::low32", "decimal::Natural::from_u64", "decimal::Natural::pow10", "decimal::Natural::normalize", "decimal::Natural::is_zero", "decimal::Natural::mul_add_small", "decimal::Natural::times_pow10", "decimal::Natural::times_pow5", "decimal::Natural::times_pow2", "decimal::ExactDecimal::binary", "ported/text_kernels::text", "ported/text_kernels::text_from_str", "ported/text_kernels::fold_unit", "ported/text_kernels::push_singleton_or_original", "ported/text_kernels::push_lower", "ported/text_kernels::lower" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/conditional.rs#L169-L169", "state": "matches", "suite": null, "summary": "Matches all 16 recorded answers" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.AVERAGEIF.json", "name": "AVERAGEIF", "notes": [], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\n### Relationships\n\n- **[AVERAGEIFS](FUNC.AVERAGEIFS.md)** — the plural form. Not a superset: it requires exact\n shape agreement, so it cannot express the anchoring shorthand, and its documentation states\n the opposite logical rule. Argument order is also reversed — the averaged range comes first.\n- **`COUNTIF` / `SUMIF`** — the same criteria mechanism with a different reduction.\n `AVERAGEIF` is mathematically `SUMIF/COUNTIF` **only** when every matched cell is numeric;\n otherwise the divisors differ, because `COUNTIF` counts matched cells while `AVERAGEIF`\n counts matched *numeric* cells.\n- **`MAXIFS` / `MINIFS`** — same module, same criteria mechanism, different reduction; note\n they return `0` rather than an error when nothing matches, which `AVERAGEIF` does not.\n- **`DAVERAGE`** — the database-family conditional mean, with a criteria *range* rather than a\n criteria expression; see [DAVERAGE](FUNC.DAVERAGE.md) for that mechanism.\n- **`FILTER` + `AVERAGE`** — the modern dynamic-array route, which uses ordinary worksheet\n comparison rather than the criteria language and therefore does not inherit the wildcard or\n the tolerant-numeric rules.\n\n\n", "how-to-implement": "\n### Numerical notes\n\n\nThe reduction is a plain sequential `f64` accumulation followed by one division, so the error\nanalysis is exactly [AVERAGE's](FUNC.AVERAGE.md#numerical-notes): a bound proportional to\n\\(\\sum|x_i|\\), a condition number of \\(\\sum|x_i|/|\\sum x_i|\\), and sensitivity to summation\norder. Nothing about the criteria stage improves it.\n\nWhat the criteria stage adds is a **second** numerical question that has nothing to do with\nsummation: the tolerant comparison. Because `compare_excel_numbers` works on a\n15-significant-digit truncation rather than the full 53-bit significand, the selection mask\nitself is a function of a rounding decision. Two numbers that differ in the sixteenth digit\nselect together. For a conditional average this is a bigger effect than any summation error:\na mis-selected cell changes the answer at full magnitude, while a summation error changes it in\nthe last bits. Anyone auditing an `AVERAGEIF` should look at the mask before looking at the\narithmetic.\n\n", "quirks": "\n### The criteria mechanism\n\n| Criterion form | Parsed as |\n|---|---|\n| `5` or a cell holding `5` | equality against the number 5 |\n| `TRUE` | equality against the logical TRUE |\n| `\">5\"` | greater-than against the number 5 |\n| `\"<>abc\"` | not-equal against the text `abc` |\n| `\"<=\"`, `\"<\"`, `\">\"`, `\">=\"`, `\"<>\"`, `\"=\"` prefixes | the corresponding comparison |\n| `\"apple\"` (no prefix) | equality against text |\n| `\"=\" `with nothing after it | equality against **blank** |\n| `\"a*\"`, `\"a?c\"` | text equality with wildcards |\n\n**Matching is kind-aware.** A numeric criterion matches numeric cells, and also text cells whose\ncontent parses as that number; it does not match logicals. A text criterion matches only text\ncells. A logical criterion matches logical cells, and text that reads as a logical. This means\n`AVERAGEIF(A:A, 1)` and `AVERAGEIF(A:A, TRUE)` select different cells even though `TRUE`\ncoerces to 1 in arithmetic.\n\n\n### The average_range anchoring rule\n\n\nMicrosoft states it directly: \"The average_range does not need matching dimensions as range;\ncalculations begin from the top-left cell and correspond to range dimensions.\"\n\nSo `AVERAGEIF(A1:A10, \">5\", B1)` averages `B1:B10`, not the single cell `B1`. The third\nargument behaves as an *anchor*, not as a range: only its top-left corner is load-bearing, and\nthe shape is taken from `range`.\n\nThis is a genuine trap, and it is the reason `AVERAGEIFS` — which requires exact shape\nagreement — is not simply \"`AVERAGEIF` with more criteria\". Moving a formula from one to the\nother can change which cells are averaged without changing any argument text.\n\n\n\n### Result and edge cases\n\n\nReturns `Number`.\n\n- **No matching cells** → `#DIV/0!`, documented by Microsoft: \"If no cells in the range meet\n the criteria, AVERAGEIF returns the #DIV/0! error value.\"\n- **Empty cells in `average_range`** are ignored; Microsoft states this.\n- **`range` and `average_range` overlapping or identical** is ordinary and is the default.\n- **Arrays.** The surface lifts natively (`lift_broadcast_profile: surface_native`).\n\n\n\n### Documentation divergences\n\n\nThe Handbook exists partly to publish these. Three are visible on this surface without running\nExcel at all.\n\n3. **The `#DIV0!` spelling.** Microsoft's remark text renders the error as `#DIV0!` on both the\n `AVERAGEIF` and `AVERAGEIFS` pages, while the same pages use `#DIV/0!` elsewhere. This is a\n typographical defect in the documentation rather than a behavioural claim, but it is worth\n recording so that a reader searching for the error code finds the remark.\n\n\n", "sources": "- Microsoft, \"AVERAGEIF function\" —\n \n (syntax and argument text; the ignored-logicals remark; ignored empty cells in\n `average_range`; the blank-or-text `#DIV0!` remark; the empty-criteria-as-zero remark; the\n no-matching-cells `#DIV/0!`; the wildcard set; and the top-left anchoring statement).\n- Microsoft, \"AVERAGEIFS function\" —\n \n (quoted here only for the contradicting TRUE-evaluates-as-1 remark and the same-size-and-shape\n requirement).\n- Handbook projections `data/functions/FUNC.AVERAGEIF.json` and\n `data/presence/FUNC.AVERAGEIF.json`.\n- Handbook, [AVERAGE](FUNC.AVERAGE.md) (the shared reduction and its error analysis),\n [The value universe](../model/01-value-universe.md),\n [Coercion and lifting](../model/02-coercion-and-lifting.md).\n- Handbook `CHARTER.md` sections 1, 3 and 7; `content/model/06-claim-language.md`.\n\n", "version-differences": "No comparison between specific Excel builds is recorded here yet. This does not establish that all builds behave alike.", "what-it-does": "\n`AVERAGEIF(range, criteria, [average_range])` builds a selection mask over `range` by testing\neach cell against `criteria`, and returns the arithmetic mean of the numeric cells of\n`average_range` at the selected positions:\n\n M = { i : criteria(range[i]) }\n result = ( Σ_{i ∈ M, average_range[i] numeric} average_range[i] )\n / #{ i ∈ M : average_range[i] numeric }\n\nTwo counts are in play and they are not the same. The mask counts *matching positions*; the\ndivisor counts *matching positions holding a number*. A matched cell that is empty, text, or\nlogical contributes to neither numerator nor divisor. That is why `AVERAGEIF` can return\n`#DIV/0!` on a range where the criterion matched plenty of cells.\n\nThe function decomposes cleanly into three independent stages, and every difficult question\nabout it belongs to exactly one of them:\n\n1. **Criteria parsing** — turning the `criteria` argument into a comparison operator plus an\n operand.\n2. **Cell matching** — applying that comparison to each cell of `range`.\n3. **Filtered reduction** — averaging the selected cells of `average_range`.\n\n\n### Arguments\n\n\n| Argument | Meaning | Default |\n|---|---|---|\n| `range` | The cells the criterion is tested against. Required. | — |\n| `criteria` | The test. A number, expression, cell reference, or text. Required. | — |\n| `average_range` | The cells actually averaged. Optional. | `range` |\n\nMicrosoft describes `range` as \"One or more cells to average, including numbers or names,\narrays, or references that contain numbers\", `criteria` as \"The criteria in the form of a\nnumber, expression, cell reference, or text that defines which cells are averaged\", and\n`average_range` as \"The actual set of cells to average. If omitted, range is used.\"\n\n" }, "signature": { "display": "AVERAGEIF(range, criteria, [average_range])", "parameters": [ { "description": null, "name": "range", "optional": false, "repeats": false }, { "description": null, "name": "criteria", "optional": false, "repeats": false }, { "description": null, "name": "average_range", "optional": true, "repeats": false } ], "trailing_repeats": false }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 3, "min": 2 }, "category": "Statistical functions", "classification": { "arg_preparation_profile": "RefsVisibleInAdapter", "coercion_lift_profile": "Custom", "determinism_class": "Deterministic", "error_collapse_profile": "ReductionFold", "fec_dependency_profile": "RefOnly", "host_interaction_class": "None", "kernel_signature_class": "Custom", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "RefOnly", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "Mean of the cells that meet one condition", "short_source": "dna-calc-own" }, "docs": { "english_description": "Returns the average (arithmetic mean) of all the cells in a range that meet a given criteria", "microsoft_url": "https://support.microsoft.com/en-us/office/averageif-function-faec8e2e-0dec-4308-af69-f5576d8ac642" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "AVERAGEIF" }, { "locale": "bg-BG", "name": "AVERAGEIF" }, { "locale": "cs-CZ", "name": "AVERAGEIF" }, { "locale": "da-DK", "name": "MIDDEL.HVIS" }, { "locale": "de-DE", "name": "AVERAGEIF" }, { "locale": "el-GR", "name": "AVERAGEIF" }, { "locale": "en-AU", "name": "AVERAGEIF" }, { "locale": "en-GB", "name": "AVERAGEIF" }, { "locale": "en-US", "name": "AVERAGEIF" }, { "locale": "es-ES", "name": "PROMEDIO.SI" }, { "locale": "et-EE", "name": "AVERAGEIF" }, { "locale": "fi-FI", "name": "KESKIARVO.JOS" }, { "locale": "fr-FR", "name": "MOYENNE.SI*" }, { "locale": "he-IL", "name": "AVERAGEIF" }, { "locale": "hr-HR", "name": "AVERAGEIF" }, { "locale": "hu-HU", "name": "ÁTLAGHA" }, { "locale": "id-ID", "name": "AVERAGEIF" }, { "locale": "it-IT", "name": "AVERAGEIF" }, { "locale": "ja-JP", "name": "AVERAGEIF" }, { "locale": "ko-KR", "name": "AVERAGEIF" }, { "locale": "lt-LT", "name": "AVERAGEIF" }, { "locale": "lv-LV", "name": "AVERAGEIF" }, { "locale": "nb-NO", "name": "GJENNOMSNITTHVIS" }, { "locale": "nl-NL", "name": "AVERAGEIF" }, { "locale": "pl-PL", "name": "ŚREDNIA.JEŻELI" }, { "locale": "pt-BR", "name": "MÉDIAIF" }, { "locale": "pt-PT", "name": "MÉDIA.SE" }, { "locale": "ro-RO", "name": "AVERAGEIF" }, { "locale": "ru-RU", "name": "СРЗНАЧЕСЛИ" }, { "locale": "sk-SK", "name": "AVERAGEIF" }, { "locale": "sl-SI", "name": "AVERAGEIF" }, { "locale": "sr-Latn-RS", "name": "AVERAGEIF" }, { "locale": "sv-SE", "name": "MEDEL.OM" }, { "locale": "th-TH", "name": "AVERAGEIF" }, { "locale": "tr-TR", "name": "EĞERORTALAMA işlevi" }, { "locale": "uk-UA", "name": "AVERAGEIF" }, { "locale": "vi-VN", "name": "AVERAGEIF" }, { "locale": "zh-CN", "name": "AVERAGEIF" }, { "locale": "zh-HK", "name": "AVERAGEIF" }, { "locale": "zh-TW", "name": "AVERAGEIF" } ], "signature": { "display": "AVERAGEIF(range, criteria, [average_range])", "parameters": [ { "description": null, "name": "range", "optional": false, "repeats": false }, { "description": null, "name": "criteria", "optional": false, "repeats": false }, { "description": null, "name": "average_range", "optional": true, "repeats": false } ], "trailing_repeats": false }, "surface_name": "AVERAGEIF", "version_marker": null, "xlcall": { "code": "483", "symbol": "xlfAverageif" } }, "microsoft": "https://support.microsoft.com/en-us/office/averageif-function-faec8e2e-0dec-4308-af69-f5576d8ac642" }, "try_it": { "formula": "=AVERAGEIF(B2:B4,\">1\")", "inputs": { "B2": 1, "B3": 2, "B4": 3 } }, "url": "https://handbook.dnacalc.com/functions/AVERAGEIF.html", "variants": [], "versions": [] }