{ "category": "Statistical functions", "display_name": "VAR.S", "entry_kind": "built_in_function", "eval_api": { "method": "POST", "url": "https://handbook.dnacalc.com/api/eval" }, "function_id": "FUNC.VAR.S", "implementation_state": { "answer_bank": { "excel_builds": [ "20228", "20430", "20527" ], "larger_numeric": 0, "last_bit": 0, "matched": 1323, "other_mismatch": 0, "refused": 0, "rows": 1323, "unread": 0, "worst_ulp": 0 }, "detail": "Recorded: 1,323 in the answer bank and 461 workbook cells.", "dnacalc_commit": "9e1884369a678158dd82d3d74188daf986995e87", "in_catalogue": true, "state": "matches", "state_label": "Matches every recorded Excel answer", "summary": "Matches all 1,784 recorded answers", "workbook_corpus": { "cells": 461, "matched": 461 } }, "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/statistics.rs#L338-L340" ], "repository": "https://github.com/DnaCalc/DnaCalc", "shared_code": [ "catalogue/statistics::all", "catalogue/statistics::variance", "ported/excel_numeric::excel_sqrt_staged", "ported/variance_common::variance_from_values", "ported/variance_common::stdev_from_values" ], "source": "https://github.com/DnaCalc/DnaCalc/blob/9e1884369a678158dd82d3d74188daf986995e87/crates/calc-func/src/catalogue/statistics.rs#L338-L340", "state": "matches", "suite": null, "summary": "Matches all 1,784 recorded answers" } ], "json_url": "https://handbook.dnacalc.com/api/functions/FUNC.VAR.S.json", "name": "VAR.S", "notes": [ { "basis": "All 14,679 recorded rows of the twelve functions match: VAR.S, VAR.P, VAR, VARP, VARA, VARPA, STDEV.S, STDEV.P, STDEV, STDEVP, STDEVA and STDEVPA. Six of those rows separate the stored steps from plain binary64. 910 fresh scalar variance readings (Excel build 20527) replay exactly in rational arithmetic. Four cancellation edges were bisected to adjacent inputs; sixteen triples chosen to separate the stored ratio from 0.99*Q and from a division by 0.99 all agree with the ratio, where 0.99*Q misses all 16 and the division 14. Seven of eight magnitude brackets reach adjacent inputs, and sixteen chosen roots all need the 64-bit root followed by a store.", "documentation": null, "evidence": [ { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_from_values", "note": "the rules in the product; the commit message carries the row counts", "path": "crates/calc-func/src/ported/variance_common.rs", "repository": "DnaCalc" }, { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_cancellation_guard_stores_the_ratio", "note": "recorded answers pinned", "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" }, { "commit": "af74247e1ed54f0b535143f1305261b98d80d18e", "locator": null, "note": "rows matched per function", "path": "crates/calc-func/witness-status.tsv", "repository": "DnaCalc" }, { "commit": "a547d79ed61948cfd5f5d49f8c5a2a071ad37635", "locator": null, "note": "the 14,679 rows before and after", "path": "evidence/round25/variance-published-canonical-scope-receipt.json", "repository": "DnaCalc-Research" } ], "functions": [ "FUNC.STDEV", "FUNC.STDEV.P", "FUNC.STDEV.S", "FUNC.STDEVA", "FUNC.STDEVP", "FUNC.STDEVPA", "FUNC.VAR", "FUNC.VAR.P", "FUNC.VAR.S", "FUNC.VARA", "FUNC.VARP", "FUNC.VARPA" ], "inferred": "These tests were located with scalar arguments in separate cells; that the same edges hold for ranges and arrays is inferred, and their readings have not been taken. RN(variance*1000) <= |mean| is not separated from the rearrangement variance <= |mean|/1000. That a raw moment which overflows also takes the centered sum is inferred from recorded answers that stay finite.", "kind": "excel-differs-from-math", "note_id": "FN-VAR.S-001", "open": [ "Whether the two tests keep the same edges for ranges and arrays." ], "recorded_on": "2026-11-04", "repros": [ { "call": "VAR.S(0.8769085090206681, 1, 1.123091490979332)", "correct": null, "excel": { "bits": "0x3f8f07c1f07c1e94", "display": "0.01515151515151495", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3fec0fa26efa7e14", "display": "0.8769085090206681", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "number3", "value": { "bits": "0x3ff1f82ec882c0f6", "display": "1.123091490979332", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading", "source": { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_cancellation_guard_keeps_the_observed_edge", "note": null, "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" } }, { "call": "VAR.S(0.8769085090206679, 1, 1.1230914909793321)", "correct": { "bits": "0x3f8f07c1f07c1eb4", "display": "0.015151515151515006", "how": "Exact rational variance of the binary64 inputs, correctly rounded.", "kind": "number" }, "excel": { "bits": "0x3f8f07c1f07c1f00", "display": "0.015151515151515138", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3fec0fa26efa7e12", "display": "0.8769085090206679", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "number3", "value": { "bits": "0x3ff1f82ec882c0f7", "display": "1.1230914909793321", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading", "source": { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_cancellation_guard_keeps_the_observed_edge", "note": null, "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" } }, { "call": "VAR.S(3.244042371786199e-10, 0.00034050419142641947)", "correct": null, "excel": { "bits": "0x3e6f1f88c6bbc51a", "display": "5.797144172853e-08", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3df64afacd3a935a", "display": "3.244042371786199e-10", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3f3650b65dc7a1d6", "display": "0.00034050419142641947", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading", "source": { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_centered_guard_uses_the_absolute_mean", "note": null, "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" } }, { "call": "VAR.S(1.2976169487144796e-09, 0.0013620167657056779)", "correct": { "bits": "0x3eaf1f88c6bbc51a", "display": "9.2754306765648e-07", "how": "Exact rational variance of the binary64 inputs, correctly rounded.", "kind": "number" }, "excel": { "bits": "0x3eaf1f88c6bbc519", "display": "9.275430676564799e-07", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3e164afacd3a935a", "display": "1.2976169487144796e-09", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3f5650b65dc7a1d6", "display": "0.0013620167657056779", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading", "source": { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "variance_centered_guard_uses_the_absolute_mean", "note": null, "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" } }, { "call": "=VAR.S({157,376.82,189.207,12.38,12.473,483,306.24,324.1852,482.235,78})", "correct": { "bits": "0x40df28debfbf8a7f", "display": "31907.480453381777", "how": "Exact rational variance of the binary64 inputs, correctly rounded.", "kind": "number" }, "excel": { "bits": "0x40df28debfbf8a84", "display": "31907.480453381795", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "source": { "commit": "c9f9d354165d2c20b9455c32582ea50baac7ba73", "locator": "sheet dcj9k_statistics, row 3, column 4", "note": null, "path": "crates/calc-func/tests/captures/catalogue/sections/dcj9k_statistics.capture.json", "repository": "DnaCalc" } }, { "call": "STDEV.S(0, 1, 1.031052478719249)", "correct": null, "excel": { "bits": "0x3fe2c4c55ae2d85e", "display": "0.5865198874587454", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x0000000000000000", "display": "0", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "number3", "value": { "bits": "0x3ff07f30e248f14c", "display": "1.031052478719249", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading", "source": { "commit": "9c23b24e8d0a6bc913f16bc169f46f80d4e6bb18", "locator": "stdev_stores_the_extended_square_root", "note": null, "path": "crates/calc-func/tests/f1_stats.rs", "repository": "DnaCalc" } } ], "schema": "efh.function-note/v1", "statement": "With RN(v) meaning v rounded to 64 bits on the x87 unit and then stored to binary64, S the running RN sum of the n values and Q the running RN sum of RN(x*x), the sample variance is RN(RN(Q - RN(RN(S*S)/n))/(n-1)) and the population variance RN(RN(RN(n*Q) - RN(S*S))/RN(n*n)). Excel then uses a centered sum instead, adding RN(d*d) with d = RN(x - mean) and dividing by n-1 or n, when either of two stored tests holds: RN(RN(RN(S*S)/n)/Q) > 0.99, or RN(variance*1000) <= |RN(S/n)|. The STDEV functions are the root of this, rounded to 64 bits and then stored. So the answer depends on which path a call takes: the first two VAR.S calls below differ by a few input steps in two arguments, the first passes the 0.99 test and is correctly rounded, and the second takes the raw moments and lands 76 units high. The next pair shows the size test: scaling the inputs by 4 leaves the first path.", "status": "measured", "title": "The variance family uses raw moments with stored steps, and two tests switch it to a centered sum" } ], "schema": "efh.function-reference/v1", "section_order": [ "what-it-does", "try-it", "quirks", "how-to-implement", "version-differences", "alternatives" ], "sections": { "alternatives": "\nUse [VAR.P](FUNC.VAR.P.md) when these observations are the whole population. [STDEV.S](FUNC.STDEV.S.md) reports sample spread in the original units. [VARA](FUNC.VARA.md) includes logical values and referenced text under its broader collection rules.\n\n\n\n\n", "how-to-implement": "\nUse the recorded staged algorithm when Excel compatibility is the goal. Here `R(op)` means: evaluate **one** operation with a 64-bit significand and extended exponent range, round to nearest with ties to even, then store to binary64 (53 significant bits). It is two rounding steps, not the language's ordinary double operation. The [portable stored-arithmetic recipe](../model/09-staged-arithmetic.md) implements both rounding steps with integer quotients and remainders, including binary64 subnormals and a staged square root. The product uses an x87 model. Disable contraction into a fused multiply-add.\n\n1. Collect the admitted values in their traversal order. Set `n` to the count, `S=0`, `Q=0`. Reject an empty collection, and reject `n<2` for a sample.\n2. For each `x`, assign `S=R(S+x)` and `Q=R(Q+R(x*x))`. Then set `T=R(S*S)` and `m=R(S/n)`.\n3. For a sample, compute `v=R(R(Q-R(T/n))/(n-1))`. For a population, compute `v=R(R(R(n*Q)-T)/R(n*n))`. These expressions have different stored steps: do not algebraically combine them.\n4. Test `R(R(T/n)/Q)>0.99` and `R(v*1000)<=abs(m)`. If either holds, recompute `C` from zero by `d=R(x-m)`, `C=R(C+R(d*d))`, and return `R(C/(n-1))` for a sample or `R(C/n)` for a population. The current code also takes this centered pass when raw moments are nonfinite.\n5. For a standard deviation, take the square root at 64-bit significand precision and then store to binary64.\n\nWorked raw path: for `-2,0,2`, `n=3`, `S=0`, `Q=8`, `T=0`, `m=0`. Neither guard holds. Sample variance is `8/2=4`; population variance follows `(3*8-0)/9=8/3`. Sample standard deviation is `2`.\n\nWorked centered path: for `1000,1001,1002`, `S=3003`, `Q=3006005`, `T=9018009`. The cancellation ratio is about `0.9999993`, above `0.99`. With `m=1001`, the centered squares are `1,0,1`; their sum is `2`, giving sample variance `1` or population variance `2/3`.\n\nThe scalar guard edges and stored operations have discriminating recorded answers; range/array transfer at the newly located edges remains open. The overflow fallback is an inference from finite recorded answers, and the magnitude comparison has not been separated from its division-based rearrangement. This recipe describes a reconstruction over the cited evidence, not Microsoft's private source code.\n\n\n", "quirks": "\nNumbers in references and arrays count, including zero; referenced text, logical values and empty cells do not. Direct logical values and numeric text can count, so moving a constant into a cell can change the admitted data set. An empty numeric set gives `#DIV/0!` and a one-value sample does too. A centered mathematical formula alone does not reproduce the observed numerical path.\n\n\n", "sources": "\n- [Microsoft: VAR.S function](https://support.microsoft.com/en-us/excel/functions/var-s-function), opened 6 November 2026; syntax, documented argument rules and errors.\n- [DnaCalc implementation](https://github.com/DnaCalc/DnaCalc/blob/da3ecc4fb19a3a5529708c311d0e8f05688ac165/crates/calc-func/src/ported/variance_common.rs); implementation steps and the limits identified in the text.\n- [FN-VAR.S-001](../notes/FN-VAR.S-001.json): guard bisections, stored arithmetic and unresolved scope.\n\n", "try-it": "\n`=VAR.S(-2,0,2)` returns `4`. The mean is zero and the squared deviations total eight. Divide by two.\n\n\n", "version-differences": "The recorded environments below distinguish a reading from a same-input comparison. Counts describe captured inputs in each environment; overlapping captures and comparisons are not totals of unique worksheet calls.\n\n| Excel 16.0 build | Platform and CPU | Captured inputs |\n|---|---|---:|\n| 20228 | Windows, 64-bit, CPU not recorded | 102 |\n| 20430 | Windows, 64-bit, CPU not recorded | 1,211 |\n\nThe record contains no same-input comparison between these environments. Reading different inputs on different builds does not establish either a version change or cross-build agreement.\n\n[Recorded environments and comparison details](https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.VAR.S.json).\n\nRetained controls from the indexed captures:\n\n| Build and recorded CPU | Captured call or arguments | Excel result |\n|---|---|---|\n| 20430, CPU not recorded | [`VAR.S(1,2)`](https://github.com/DnaCalc/CalcFunc-Evidence/blob/4287ba192d2e3a7fd54671ea1cee1c34cb2e84e2/cache/w111-broad-regenerated-20260929/answers-var.s.json.gz) | `0.5` (`0x3fe0000000000000`) |\n\nThese are earlier recorded answers, not new Excel runs or an additional cross-build comparison. The function JSON retains each source locator, exact argument bits where available, and input-route status. Call notation does not imply that captured binary64 values were entered as decimal formula literals.", "what-it-does": "\n`VAR.S(number1, [number2], ...)` measures sample variance. It measures squared distance from the mean, so its units are the square of the input units. The divisor is `n-1`: use this when the observations are a sample of a larger population.\n\n\n" }, "signature": { "display": "VAR.S(number1, [number2], ...)", "parameters": [ { "description": null, "name": "number1", "optional": false, "repeats": false }, { "description": null, "name": "number2", "optional": true, "repeats": true } ], "trailing_repeats": true }, "sources": { "metadata": { "admission": { "label": "implemented", "reason": null }, "arity": { "max": 255, "min": 1 }, "category": "Statistical functions", "classification": { "arg_preparation_profile": "ValuesOnlyPreAdapter", "coercion_lift_profile": "AggregateDirectAndRangeDualPolicy", "determinism_class": "Deterministic", "error_collapse_profile": "None", "fec_dependency_profile": "None", "host_interaction_class": "None", "kernel_signature_class": "NumsToNum", "rich_value_usage": "RichBlind", "surface_fec_dependency_profile": "RefOnly", "thread_safety_class": "SafePure", "volatility_class": "NonVolatile" }, "descriptions": { "long": null, "short": "Variance of a sample", "short_source": "dna-calc-own" }, "docs": { "english_description": "Estimates variance based on a sample", "microsoft_url": "https://support.microsoft.com/en-us/office/var-s-function-913633de-136b-449d-813e-65a00b2b990b" }, "entry_kind": "built_in_function", "localized_family_names": null, "localized_names": [ { "locale": "ar-SA", "name": "VAR.S" }, { "locale": "bg-BG", "name": "VAR.S" }, { "locale": "cs-CZ", "name": "VAR.S" }, { "locale": "da-DK", "name": "VARIANS.S" }, { "locale": "de-DE", "name": "VAR.S" }, { "locale": "el-GR", "name": "VAR.S" }, { "locale": "en-AU", "name": "VAR.S" }, { "locale": "en-GB", "name": "VAR.S" }, { "locale": "en-US", "name": "VAR.S" }, { "locale": "es-ES", "name": "VAR.S" }, { "locale": "et-EE", "name": "VAR.S" }, { "locale": "fi-FI", "name": "VAR.S" }, { "locale": "fr-FR", "name": "VAR.S*" }, { "locale": "he-IL", "name": "VAR.S" }, { "locale": "hr-HR", "name": "VAR.S" }, { "locale": "hu-HU", "name": "VAR.M" }, { "locale": "id-ID", "name": "VAR.S" }, { "locale": "it-IT", "name": "VAR.S" }, { "locale": "ja-JP", "name": "VAR.S" }, { "locale": "ko-KR", "name": "VAR.S" }, { "locale": "lt-LT", "name": "VAR.S" }, { "locale": "lv-LV", "name": "VAR.S" }, { "locale": "nb-NO", "name": "VAR.S" }, { "locale": "nl-NL", "name": "VAR.S" }, { "locale": "pl-PL", "name": "WARIANCJA.PRÓBKI" }, { "locale": "pt-BR", "name": "VAR.S" }, { "locale": "pt-PT", "name": "VAR.S" }, { "locale": "ro-RO", "name": "VAR.S" }, { "locale": "ru-RU", "name": "ДИСП.В" }, { "locale": "sk-SK", "name": "VAR.S" }, { "locale": "sl-SI", "name": "VAR.S" }, { "locale": "sr-Latn-RS", "name": "VAR.S" }, { "locale": "sv-SE", "name": "VARIANS.S" }, { "locale": "th-TH", "name": "VAR.S" }, { "locale": "tr-TR", "name": "VAR.S" }, { "locale": "uk-UA", "name": "VAR.S" }, { "locale": "vi-VN", "name": "VAR.S" }, { "locale": "zh-CN", "name": "VAR.S" }, { "locale": "zh-HK", "name": "VAR.S" }, { "locale": "zh-TW", "name": "VAR.S" } ], "signature": { "display": "VAR.S(number1, [number2], ...)", "parameters": [ { "description": null, "name": "number1", "optional": false, "repeats": false }, { "description": null, "name": "number2", "optional": true, "repeats": true } ], "trailing_repeats": true }, "surface_name": "VAR.S", "version_marker": null, "xlcall": { "code": "517", "symbol": "xlfVar_s" } }, "microsoft": "https://support.microsoft.com/en-us/office/var-s-function-913633de-136b-449d-813e-65a00b2b990b" }, "try_it": { "formula": "=VAR.S(-2,0,2)" }, "url": "https://handbook.dnacalc.com/functions/VAR.S.html", "variants": [], "versions": [ { "behaviour": "VAR.S(0.8769085090206681, 1, 1.123091490979332) returned 0.01515151515151495 (0x3f8f07c1f07c1e94). VAR.S(0.8769085090206679, 1, 1.1230914909793321) returned 0.015151515151515138 (0x3f8f07c1f07c1f00). 2 further recorded controls are attached. Inputs were supplied through cells using Value2. These are controls from this environment, not a same-input comparison with another build.", "excel_build": "16.0 build 20527", "observations": [ { "call": "VAR.S(0.8769085090206681, 1, 1.123091490979332)", "excel": { "bits": "0x3f8f07c1f07c1e94", "display": "0.01515151515151495", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3fec0fa26efa7e14", "display": "0.8769085090206681", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "number3", "value": { "bits": "0x3ff1f82ec882c0f6", "display": "1.123091490979332", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading" }, { "call": "VAR.S(0.8769085090206679, 1, 1.1230914909793321)", "excel": { "bits": "0x3f8f07c1f07c1f00", "display": "0.015151515151515138", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3fec0fa26efa7e12", "display": "0.8769085090206679", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "number3", "value": { "bits": "0x3ff1f82ec882c0f7", "display": "1.1230914909793321", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading" }, { "call": "VAR.S(3.244042371786199e-10, 0.00034050419142641947)", "excel": { "bits": "0x3e6f1f88c6bbc51a", "display": "5.797144172853e-08", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3df64afacd3a935a", "display": "3.244042371786199e-10", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3f3650b65dc7a1d6", "display": "0.00034050419142641947", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading" }, { "call": "VAR.S(1.2976169487144796e-09, 0.0013620167657056779)", "excel": { "bits": "0x3eaf1f88c6bbc519", "display": "9.275430676564799e-07", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "number1", "value": { "bits": "0x3e164afacd3a935a", "display": "1.2976169487144796e-09", "kind": "number" } }, { "name": "number2", "value": { "bits": "0x3f5650b65dc7a1d6", "display": "0.0013620167657056779", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20527, Windows; bitness and CPU not recorded in this reading" } ], "platform": "Windows; bitness and CPU not recorded in this reading", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/3345a87/content/notes/FN-VAR.S-001.json" ] }, { "behaviour": "=VAR.S({157,376.82,189.207,12.38,12.473,483,306.24,324.1852,482.235,78}) returned 31907.480453381795 (0x40df28debfbf8a84). Inputs were supplied through formula literals. These are controls from this environment, not a same-input comparison with another build.", "excel_build": "16.0.20527.20088", "observations": [ { "call": "=VAR.S({157,376.82,189.207,12.38,12.473,483,306.24,324.1852,482.235,78})", "excel": { "bits": "0x40df28debfbf8a84", "display": "31907.480453381795", "kind": "number" }, "input_route": "formula-literal", "inputs": [], "recorded_in": "Excel 16.0.20527.20088 Current Channel, Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA" } ], "platform": "Windows 64-bit (NT 10.0.26200), x86-64, AMD Ryzen 7 4800H, en-ZA", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/3345a87/content/notes/FN-VAR.S-001.json" ] }, { "behaviour": "102 captured inputs are indexed for this environment. Capture dates: 2026-08-09 to 2026-08-09. This is a reading count, not a comparison with another build.", "excel_build": "16.0 build 20228", "platform": "Windows, 64-bit, CPU not recorded", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.VAR.S.json" ] }, { "behaviour": "1,211 captured inputs are indexed for this environment. Capture dates: 2026-09-29 to 2026-09-29. This is a reading count, not a comparison with another build. Retained control VAR.S(1,2) returned 0.5 (0x3fe0000000000000). The capture specifies exact-double bulk Value2 cell input.", "excel_build": "16.0 build 20430", "observations": [ { "call": "VAR.S(1,2)", "excel": { "bits": "0x3fe0000000000000", "display": "0.5", "kind": "number" }, "input_route": "cell-value2", "inputs": [ { "name": "argument1", "value": { "bits": "0x3ff0000000000000", "display": "1", "kind": "number" } }, { "name": "argument2", "value": { "bits": "0x4000000000000000", "display": "2", "kind": "number" } } ], "recorded_in": "Excel 16.0 build 20430, Windows, 64-bit, CPU not recorded.", "source": { "commit": "4287ba192d2e3a7fd54671ea1cee1c34cb2e84e2", "locator": "w111broad-20260929-VAR.S-00003", "path": "cache/w111-broad-regenerated-20260929/answers-var.s.json.gz", "repository": "CalcFunc-Evidence" } } ], "platform": "Windows, 64-bit, CPU not recorded", "sources": [ "https://github.com/DnaCalc/ExcelFunctionsHandbook/blob/5dc75391aa5125ccc5abdb095da85950980d6fd8/content/evidence/environments/FUNC.VAR.S.json", "https://github.com/DnaCalc/CalcFunc-Evidence/blob/4287ba192d2e3a7fd54671ea1cee1c34cb2e84e2/cache/w111-broad-regenerated-20260929/answers-var.s.json.gz" ] } ] }