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 draws 515 Wikipedia views per month (type_of_statistic category, ranking #12 of 34).[2]

Key Facts

  • geometric mean's image is recorded as 01-Mittlere Proportionale static.gif[3].
  • geometric mean's instance of is recorded as type of statistic[4].
  • geometric mean's GND ID is recorded as 4288031-2[5].
  • geometric mean's subclass of is recorded as mean[6].
  • geometric mean's subclass of is recorded as Pythagorean mean[7].
  • geometric mean's subclass of is recorded as weighted geometric mean[8].
  • geometric mean's subclass of is recorded as quasi-arithmetic mean[9].
  • geometric mean's Freebase ID is recorded as /m/03dzv[10].
  • geometric mean's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[11].
  • geometric mean's described by source is recorded as mathisfun.com[12].
  • geometric mean's Encyclopædia Britannica Online ID is recorded as topic/geometric-mean[13].
  • geometric mean's defining formula is recorded as x_{\mathrm{g}} = \left(\prod_{i = 1}^n x_n\right)^{1/n}[14].
  • geometric mean's MathWorld ID is recorded as GeometricMean[15].
  • geometric mean's JSTOR topic ID is recorded as geometric-mean[16].
  • geometric mean's IUPAC Gold Book ID is recorded as G02621[17].
  • geometric mean's Elhuyar ZTH ID is recorded as 032705[18].
  • geometric mean's Interlingual Index ID is recorded as i68437[19].
  • geometric mean's greater than is recorded as harmonic mean[20].
  • geometric mean's less than is recorded as arithmetic mean[21].
  • geometric mean's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • geometric mean's Microsoft Academic ID is recorded as 40222840[23].
  • geometric mean's Brilliant Wiki ID is recorded as geometric-mean[24].
  • geometric mean's ProofWiki ID is recorded as Definition:Geometric_Mean[25].
  • geometric mean's in defining formula is recorded as x_{\mathrm{g}}[26].
  • geometric mean's IEV number is recorded as 103-02-04[27].

Body

Works and Contributions

Things named for geometric mean include AM–GM inequality[28], an inequality[29] and it theorem[30], a theorem[31].

Why It Matters

geometric mean draws 515 Wikipedia views per month (type_of_statistic category, ranking #12 of 34).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[32] It is known by 33 alternative names across languages and contexts.[33]

Entities named for it include AM–GM inequality[28], an inequality[29] and it theorem[30], a theorem[31].

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] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [28] . wikidata.org. → on this site
  2. [30] . wikidata.org. → on this site

Inline context (facts about related entities)

  1. [29] . Wikidata. wikidata.org. → on this site
  2. [31] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [32] . Wikidata sitelinks. wikidata.org.
  3. [33] . 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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