Phrase guide

central limit theorem

name · noun · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

name

Meaning 1

The theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences, statistics

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

name

Meaning 2

Alternative letter-case form of central limit theorem (“the theorem that states that if the sum of independent identically distributed random variables has a finite variance, then it will be approximately normally distributed”)

Definition source: English Wiktionary via Wiktextract

Usage: alt-of

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

noun

Meaning 3

Any of various similar theorems.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

12 source translations are retained for this English entry.

  • Armenian: կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) — the theorem
  • Czech: centrální limitní věta — the theorem
  • Finnish: keskeinen raja-arvolause — the theorem
  • French: théorème central limite — the theorem
  • German: Zentraler Grenzwertsatz — the theorem
  • Icelandic: meginmarkgildissetning tölfræðinnar — the theorem
  • Icelandic: höfuðsetning tölfræðinnar — the theorem
  • Polish: centralne twierdzenie graniczne — the theorem
  • Russian: центра́льная преде́льная теоре́ма (centrálʹnaja predélʹnaja teoréma) — the theorem
  • Armenian: կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) — any similar theorem
  • Finnish: keskeinen raja-arvolause — any similar theorem
  • Polish: centralne twierdzenie graniczne — any similar theorem