"central limit theorem" meaning in English

See central limit theorem in All languages combined, or Wiktionary

Noun

Forms: central limit theorems [plural], Central Limit Theorem [alternative]
Head templates: {{en-noun}} central limit theorem (plural central limit theorems)
  1. (statistics and mathematics, singular only) 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. Tags: singular, singular-only Categories (topical): Mathematics, Statistics Related terms: Bayes' theorem, bell curve, Laplacean, normal distribution Translations (the theorem): կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) (Armenian), centrální limitní věta [feminine] (Czech), keskeinen raja-arvolause (Finnish), théorème central limite [masculine] (French), Zentraler Grenzwertsatz [masculine] (German), meginmarkgildissetning tölfræðinnar [feminine] (Icelandic), höfuðsetning tölfræðinnar [feminine] (Icelandic), центра́льная преде́льная теоре́ма (centrálʹnaja predélʹnaja teoréma) [feminine] (Russian)
    Sense id: en-central_limit_theorem-en-noun-l5xrXvS1 Categories (other): English singularia tantum, English entries with incorrect language header, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with Armenian translations, Terms with Czech translations, Terms with Finnish translations, Terms with French translations, Terms with German translations, Terms with Icelandic translations, Terms with Russian translations Disambiguation of English entries with incorrect language header: 62 38 Disambiguation of Entries with translation boxes: 75 25 Disambiguation of Pages with 1 entry: 65 35 Disambiguation of Pages with entries: 68 32 Disambiguation of Terms with Armenian translations: 75 25 Disambiguation of Terms with Czech translations: 75 25 Disambiguation of Terms with Finnish translations: 76 24 Disambiguation of Terms with French translations: 77 23 Disambiguation of Terms with German translations: 75 25 Disambiguation of Terms with Icelandic translations: 75 25 Disambiguation of Terms with Russian translations: 75 25 Topics: mathematics, sciences, statistics Disambiguation of 'the theorem': 72 28
  2. (mathematics, countable) Any of various similar theorems. Tags: countable Categories (topical): Mathematics Translations (any similar theorem): կենտրոնական սահմանային թեորեմ (kentronakan sahmanayin tʻeorem) (Armenian), keskeinen raja-arvolause (Finnish)
    Sense id: en-central_limit_theorem-en-noun-gjKhsIog Topics: mathematics, sciences Disambiguation of 'any similar theorem': 26 74

Inflected forms

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      "form": "Central Limit Theorem",
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          "text": "Laplace continued his research throughout France’s political upheavals. In 1810 he announced the central limit theorem, one of the great scientific and statistical discoveries of all time. It asserts that, with some exceptions, any average of a large number of similar terms will have a normal, bell-shaped distribution. Suddenly, the easy-to-use bell curve was a real mathematical construct. Laplace’s probability of causes had limited him to binomial problems, but his final proof of the central limit theorem let him deal with almost any kind of data. In providing the mathematical justification for taking the mean of many data points, the central limit theorem had a profound effect on the future of Bayes’ rule. At the age of 62, Laplace, its chief creator and proponent, made a remarkable about-face. He switched allegiances to an alternate, frequency-based approach he had also developed. From 1811 until his death 16 years later Laplace relied primarily on this approach, which twentieth-century theoreticians would use to almost obliterate Bayes’ rule.",
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        "(statistics and mathematics, singular only) 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."
      ],
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          "_dis1": "72 28",
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          "roman": "kentronakan sahmanayin tʻeorem",
          "sense": "the theorem",
          "word": "կենտրոնական սահմանային թեորեմ"
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          "_dis1": "72 28",
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          "sense": "the theorem",
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          "word": "centrální limitní věta"
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          "sense": "the theorem",
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          "sense": "the theorem",
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          "word": "théorème central limite"
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          "lang": "German",
          "sense": "the theorem",
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          "word": "Zentraler Grenzwertsatz"
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          "roman": "centrálʹnaja predélʹnaja teoréma",
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          "tags": [
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          "word": "центра́льная преде́льная теоре́ма"
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        "(mathematics, countable) Any of various similar theorems."
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          "sense": "any similar theorem",
          "word": "keskeinen raja-arvolause"
        }
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    }
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  "word": "central limit theorem"
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        "(statistics and mathematics, singular only) 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."
      ],
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        "(mathematics, countable) Any of various similar theorems."
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    {
      "code": "hy",
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      "roman": "kentronakan sahmanayin tʻeorem",
      "sense": "the theorem",
      "word": "կենտրոնական սահմանային թեորեմ"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "the theorem",
      "tags": [
        "feminine"
      ],
      "word": "centrální limitní věta"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the theorem",
      "word": "keskeinen raja-arvolause"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "the theorem",
      "tags": [
        "masculine"
      ],
      "word": "théorème central limite"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "the theorem",
      "tags": [
        "masculine"
      ],
      "word": "Zentraler Grenzwertsatz"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the theorem",
      "tags": [
        "feminine"
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      "word": "meginmarkgildissetning tölfræðinnar"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "the theorem",
      "tags": [
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      ],
      "word": "höfuðsetning tölfræðinnar"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "centrálʹnaja predélʹnaja teoréma",
      "sense": "the theorem",
      "tags": [
        "feminine"
      ],
      "word": "центра́льная преде́льная теоре́ма"
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    {
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      "lang": "Armenian",
      "roman": "kentronakan sahmanayin tʻeorem",
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      "word": "կենտրոնական սահմանային թեորեմ"
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    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "any similar theorem",
      "word": "keskeinen raja-arvolause"
    }
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  "word": "central limit theorem"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-13 from the enwiktionary dump dated 2025-04-03 using wiktextract (aeaf2a1 and fb63907). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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