Mean value theorem

Mean value theorem - on the existence of a tangent to an arc parallel to the line through its endpoints. Article "Mean value theorem" in English Wikipedia has 52.5 points for quality (as of July 1, 2025). The article contains 15 references and 21 sections.

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

In June 2025 the article "Mean value theorem" was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Mean value theorem", its content was written by 271 registered users of English Wikipedia and edited by 1205 registered Wikipedia users in all languages.

The article is cited 316 times in English Wikipedia and cited 2010 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #601 in July 2003
• Global: #1390 in August 2001

The highest popularity rank from 2008:

• Local (English): #20518 in November 2013
• Global: #18146 in November 2018

There are 43 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.

#	Language	Quality grade	Quality score
1	English (en) Mean value theorem		52.4691
2	Chinese (zh) 中值定理		41.821
3	French (fr) Théorème des accroissements finis		38.1826
4	Greek (el) Θεώρημα μέσης τιμής		30.8107
5	Tamil (ta) இடைமதிப்புத் தேற்றம்		27.5833
6	Vietnamese (vi) Định lý giá trị trung bình		26.8079
7	German (de) Mittelwertsatz der Differentialrechnung		26.7252
8	Slovak (sk) Lagrangeova veta o strednej hodnote		24.9566
9	Korean (ko) 평균값 정리		24.3387
10	Indonesian (id) Teorema nilai purata		23.9124

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

The most popular language versions of the article "Mean value theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Mean value theorem		4 664 305
2	Spanish (es) Teorema del valor medio		1 325 902
3	Italian (it) Teorema di Lagrange		1 262 615
4	French (fr) Théorème des accroissements finis		1 098 502
5	German (de) Mittelwertsatz der Differentialrechnung		805 754
6	Chinese (zh) 中值定理		617 104
7	Russian (ru) Формула конечных приращений		523 792
8	Japanese (ja) 平均値の定理		439 293
9	Polish (pl) Twierdzenie Lagrange’a (rachunek różniczkowy)		324 472
10	Portuguese (pt) Teorema do valor médio		303 538

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

The most popular language versions of the article "Mean value theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Mean value theorem		12 307
2	Italian (it) Teorema di Lagrange		3 328
3	Russian (ru) Формула конечных приращений		3 079
4	French (fr) Théorème des accroissements finis		2 596
5	German (de) Mittelwertsatz der Differentialrechnung		2 244
6	Spanish (es) Teorema del valor medio		2 240
7	Japanese (ja) 平均値の定理		1 540
8	Chinese (zh) 中值定理		1 526
9	Polish (pl) Twierdzenie Lagrange’a (rachunek różniczkowy)		947
10	Korean (ko) 평균값 정리		921

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

Language versions of the article "Mean value theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Mean value theorem		271
2	French (fr) Théorème des accroissements finis		109
3	Italian (it) Teorema di Lagrange		90
4	German (de) Mittelwertsatz der Differentialrechnung		67
5	Spanish (es) Teorema del valor medio		56
6	Russian (ru) Формула конечных приращений		50
7	Chinese (zh) 中值定理		50
8	Japanese (ja) 平均値の定理		37
9	Dutch (nl) Middelwaardestelling		37
10	Hebrew (he) משפט הערך הממוצע של לגראנז'		32

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

Language versions of the article "Mean value theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Galician (gl) Teorema do valor medio		2
2	English (en) Mean value theorem		1
3	Arabic (ar) مبرهنة القيمة المتوسطة		0
4	Azerbaijani (az) Orta qiymət teoremi		0
5	Catalan (ca) Teorema del valor mitjà		0
6	Czech (cs) Věta o střední hodnotě diferenciálního počtu		0
7	Danish (da) Middelværdisætningen		0
8	German (de) Mittelwertsatz der Differentialrechnung		0
9	Greek (el) Θεώρημα μέσης τιμής		0
10	Esperanto (eo) Meznombra valora teoremo		0

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

Language versions of the article "Mean value theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Mean value theorem		316
2	Arabic (ar) مبرهنة القيمة المتوسطة		159
3	Italian (it) Teorema di Lagrange		151
4	Ukrainian (uk) Теорема про середнє значення		137
5	Korean (ko) 평균값 정리		122
6	Chinese (zh) 中值定理		121
7	Persian (fa) قضیه مقدار میانگین		112
8	Japanese (ja) 平均値の定理		108
9	French (fr) Théorème des accroissements finis		79
10	Hebrew (he) משפט הערך הממוצע של לגראנז'		71

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#	Language	Value
ar	Arabic مبرهنة القيمة المتوسطة
az	Azerbaijani Orta qiymət teoremi
ca	Catalan Teorema del valor mitjà
cs	Czech Věta o střední hodnotě diferenciálního počtu
da	Danish Middelværdisætningen
de	German Mittelwertsatz der Differentialrechnung
el	Greek Θεώρημα μέσης τιμής
en	English Mean value theorem
eo	Esperanto Meznombra valora teoremo
es	Spanish Teorema del valor medio
et	Estonian Lagrange'i keskväärtusteoreem
eu	Basque Batez besteko balioaren teorema
fa	Persian قضیه مقدار میانگین
fi	Finnish Differentiaalilaskennan väliarvolause
fr	French Théorème des accroissements finis
gl	Galician Teorema do valor medio
he	Hebrew משפט הערך הממוצע של לגראנז'
hi	Hindi माध्यमान प्रमेय
hr	Croatian Riemannov teorem
hu	Hungarian Lagrange-féle középértéktétel
id	Indonesian Teorema nilai purata
it	Italian Teorema di Lagrange
ja	Japanese 平均値の定理
ko	Korean 평균값 정리
lt	Lithuanian Lagranžo vidutinės reikšmės teorema
nl	Dutch Middelwaardestelling
no	Norwegian Middelverdisetningen
pl	Polish Twierdzenie Lagrange’a (rachunek różniczkowy)
pt	Portuguese Teorema do valor médio
ro	Romanian Teorema creșterilor finite
ru	Russian Формула конечных приращений
sk	Slovak Lagrangeova veta o strednej hodnote
sl	Slovenian Izrek o povprečni vrednosti
sr	Serbian Лагранжова теорема
sv	Swedish Medelvärdessatsen
ta	Tamil இடைமதிப்புத் தேற்றம்
th	Thai ทฤษฎีบทค่ามัชฌิม
tr	Turkish Ortalama değer teoremi
uk	Ukrainian Теорема про середнє значення
ur	Urdu قضیہ قدر وسطی
uz	Uzbek Lagranj formulasi
vi	Vietnamese Định lý giá trị trung bình
zh	Chinese 中值定理

Best Rank

English: #20518 11.2013

Global: #18146 11.2018

Best Rank

English: #601 07.2003

Global: #1390 08.2001

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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