Generalized mean

en

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Generalized mean

Quality:

Generalized mean - n-th root of the arithmetic mean of the given numbers raised to the power n. Article “Generalized mean” in English Wikipedia has 41 points for quality (as of July 1, 2025). The article contains 12 references and 16 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.16 points.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Generalized mean” was edited by 1 authors in English Wikipedia and written by 4 authors in all languages.

Since the creation of article “Generalized mean”, its content was written by 116 registered users of English Wikipedia and edited by 392 registered Wikipedia users in all languages.

The article is cited 492 times in English Wikipedia and cited 1218 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #948 in January 2002
  • Global: #1087 in January 2002

The highest popularity rank from 2008:

  • Local (English): #210025 in April 2008
  • Global: #217991 in October 2009

There are 23 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Generalized mean
41.0363
2Chinese (zh)
幂平均
31.7393
3Spanish (es)
Media generalizada
31.6904
4Tamil (ta)
அடுக்குச் சராசரி
31.4118
5Turkish (tr)
Genelleştirilmiş ortalama
27.0818
6Hebrew (he)
ממוצע מוכלל
22.5248
7Bulgarian (bg)
Средностепенна стойност
22.4451
8Polish (pl)
Średnia potęgowa
17.865
9Persian (fa)
میانگین تعمیم‌یافته
16.6636
10French (fr)
Moyenne d'ordre p
15.2652
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Generalized mean" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Generalized mean
619 614
2Russian (ru)
Среднее степенное
148 803
3Polish (pl)
Średnia potęgowa
104 578
4German (de)
Hölder-Mittel
56 873
5Chinese (zh)
幂平均
44 609
6Korean (ko)
멱평균
21 062
7French (fr)
Moyenne d'ordre p
18 902
8Spanish (es)
Media generalizada
17 266
9Ukrainian (uk)
Середнє степеневе
12 164
10Turkish (tr)
Genelleştirilmiş ortalama
10 754
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Generalized mean" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Generalized mean
2 647
2Russian (ru)
Среднее степенное
540
3Japanese (ja)
ヘルダー平均
309
4Chinese (zh)
幂平均
259
5Bulgarian (bg)
Средностепенна стойност
172
6German (de)
Hölder-Mittel
157
7French (fr)
Moyenne d'ordre p
153
8Polish (pl)
Średnia potęgowa
128
9Korean (ko)
멱평균
82
10Spanish (es)
Media generalizada
50
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Generalized mean" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Generalized mean
116
2German (de)
Hölder-Mittel
34
3Russian (ru)
Среднее степенное
34
4Dutch (nl)
Wortelgemiddelde
32
5Spanish (es)
Media generalizada
24
6Polish (pl)
Średnia potęgowa
17
7French (fr)
Moyenne d'ordre p
14
8Galician (gl)
Media xeneralizada
14
9Hungarian (hu)
Hatványközép
14
10Chinese (zh)
幂平均
14
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Generalized mean" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Moyenne d'ordre p
2
2English (en)
Generalized mean
1
3Ukrainian (uk)
Середнє степеневе
1
4Bulgarian (bg)
Средностепенна стойност
0
5Danish (da)
Potensgennemsnit
0
6German (de)
Hölder-Mittel
0
7Spanish (es)
Media generalizada
0
8Basque (eu)
Batezbesteko orokortu
0
9Persian (fa)
میانگین تعمیم‌یافته
0
10Galician (gl)
Media xeneralizada
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Generalized mean" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Generalized mean
492
2Ukrainian (uk)
Середнє степеневе
249
3Persian (fa)
میانگین تعمیم‌یافته
235
4Russian (ru)
Среднее степенное
45
5French (fr)
Moyenne d'ordre p
33
6Polish (pl)
Średnia potęgowa
25
7Serbian (sr)
Генерализована средина
25
8Chinese (zh)
幂平均
19
9German (de)
Hölder-Mittel
16
10Korean (ko)
멱평균
15
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
bgBulgarian
Средностепенна стойност
daDanish
Potensgennemsnit
deGerman
Hölder-Mittel
enEnglish
Generalized mean
esSpanish
Media generalizada
euBasque
Batezbesteko orokortu
faPersian
میانگین تعمیم‌یافته
frFrench
Moyenne d'ordre p
glGalician
Media xeneralizada
heHebrew
ממוצע מוכלל
hiHindi
सामान्यीकृत माध्य
huHungarian
Hatványközép
jaJapanese
ヘルダー平均
koKorean
멱평균
nlDutch
Wortelgemiddelde
plPolish
Średnia potęgowa
ruRussian
Среднее степенное
srSerbian
Генерализована средина
svSwedish
Generaliserat medelvärde
taTamil
அடுக்குச் சராசரி
trTurkish
Genelleştirilmiş ortalama
ukUkrainian
Середнє степеневе
zhChinese
幂平均

Popularity rank trends

Best Rank English:
#210025
04.2008
Global:
#217991
10.2009

AI rank trends

Best Rank English:
#948
01.2002
Global:
#1087
01.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Generalized mean from Wikipedia articles about AM–GM inequality, Root mean square, Harmonic mean, HM-GM-AM-QM inequalities and Geometric mean. Whereas reading the article about Generalized mean people most often go to Wikipedia articles on Quasi-arithmetic mean, Root mean square, Harmonic mean, Norm and Geometric mean.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information