generalized mean

n-th root of the arithmetic mean of the given numbers raised to the power n
Thing type_of_statistic Q855729
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generalized mean

Summary

generalized mean is a type of statistic[1]. It draws 188 Wikipedia views per month (type_of_statistic category, ranking #21 of 34).[2]

Key Facts

  • generalized mean's instance of is recorded as type of statistic[3].
  • Otto Hölder is named after generalized mean[4].
  • power is named after generalized mean[5].
  • Hermann Minkowski is named after generalized mean[6].
  • generalized mean's based on is recorded as arithmetic mean[7].
  • generalized mean's subclass of is recorded as mean[8].
  • generalized mean's subclass of is recorded as weighted power mean[9].
  • generalized mean's subclass of is recorded as quasi-arithmetic mean[10].
  • generalized mean's Freebase ID is recorded as /m/03frh[11].
  • generalized mean's defining formula is recorded as M_p(x_1,\dots,x_n) = \left( \frac{1}{n} \sum_{i=1}^n x_i^p \right)^{\frac{1}{p}}[12].
  • generalized mean's MathWorld ID is recorded as PowerMean[13].
  • generalized mean's Elhuyar ZTH ID is recorded as 133934[14].
  • generalized mean's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • generalized mean's Microsoft Academic ID is recorded as 117355083[16].
  • generalized mean's ProofWiki ID is recorded as Definition:Hölder_Mean[17].
  • generalized mean's OpenAlex ID is recorded as C117355083[18].

Why It Matters

generalized mean draws 188 Wikipedia views per month (type_of_statistic category, ranking #21 of 34).[2] It has Wikipedia articles in 18 language editions, a strong signal of global cultural recognition.[19] It is known by 32 alternative names across languages and contexts.[20]

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] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . 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). generalized mean. Retrieved May 3, 2026, from https://4ort.xyz/entity/generalized-mean
MLA “generalized mean.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/generalized-mean.
BibTeX @misc{4ortxyz_generalized-mean_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{generalized mean}}, year = {2026}, url = {https://4ort.xyz/entity/generalized-mean}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): generalized mean — https://4ort.xyz/entity/generalized-mean (retrieved 2026-05-03)

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