geometric mean

the n-th root of the product of n numbers
Thing type_of_statistic Q185049
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geometric mean

Summary

geometric mean is a type of statistic[1]. It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • geometric mean's instance of is recorded as type of statistic[3].
  • geometric mean is a type of mean[4].
  • geometric mean is a type of Pythagorean mean[5].
  • geometric mean is a type of weighted geometric mean[6].
  • geometric mean is a type of quasi-arithmetic mean[7].
  • geometric mean's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[8].
  • geometric mean's described by source is recorded as mathisfun.com[9].
  • geometric mean's greater than is recorded as harmonic mean[10].
  • geometric mean's less than is recorded as arithmetic mean[11].
  • geometric mean's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

geometric mean's instance of is recorded as type of statistic[3]. Recorded subclass of include mean[4], Pythagorean mean[5], weighted it[6], and quasi-arithmetic mean[7].

Influence

Things named for geometric mean include it theorem[13], a theorem[14] and AM–GM inequality[15], an inequality[16].

Why It Matters

geometric mean has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[2] It is known by 33 alternative names across languages and contexts.[17]

Entities named for it include it theorem[13], a theorem[14] and AM–GM inequality[15], an inequality[16].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [13] . wikidata.org. → on this site
  2. [15] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [14] . Wikidata. wikidata.org. → on this site
  2. [16] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [17] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). geometric mean. Retrieved May 3, 2026, from https://4ort.xyz/entity/geometric-mean
MLA “geometric mean.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/geometric-mean.
BibTeX @misc{4ortxyz_geometric-mean_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{geometric mean}}, year = {2026}, url = {https://4ort.xyz/entity/geometric-mean}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): geometric mean — https://4ort.xyz/entity/geometric-mean (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    Maintained by wikiproject WikiProject Mathematics
    Less than arithmetic mean
    Subclass of
    Described by source Great Soviet Encyclopedia (1926–1947), mathisfun.com
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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