central limit theorem

[ˈsen.trəl ˈlɪm.ɪt ˈθɪə.rəm]
noun
teorema do limite central
1. A fundamental statistical principle stating that the distribution of sample means approaches a normal (bell curve) distribution as the sample size increases, regardless of the original distribution of the population
The central limit theorem is crucial for understanding why many real-world phenomena follow a normal distribution.
O teorema do limite central é fundamental para compreender por que muitos fenômenos do mundo real seguem uma distribuição normal.
2. In statistics and probability theory, the mathematical law that allows for reliable inferences about a population based on sample data
Engineers use the central limit theorem to ensure quality control in manufacturing processes.
Os engenheiros usam o teorema do limite central para garantir o controle de qualidade nos processos de fabricação.
The central limit theorem is a cornerstone of modern statistics taught universally in both Brazilian and American universities. It bridges theoretical mathematics and practical applications in quality control, market research, and scientific studies. In Brazil, it's commonly abbreviated as TLC in academic papers, while in the USA it's typically referred to by its full name or the acronym CLT in professional contexts.
Synonyms / Sinônimos
CLTlimit theoremLindeberg-Lévy theorem

Regional Variations

General Brazilian
teorema do limite central
Standard academic and technical usage in Brazilian mathematics and statistics
São Paulo
teorema do limite central
Commonly used in universities and research institutions
Portugal
teorema do limite central
Identical usage in Portuguese academic contexts; occasionally abbreviated as TLC
USA
central limit theorem
Foundational concept taught in all introductory statistics courses

Related Words

normal distributionstandard deviationsample meanprobability distributionstatistical inferencelaw of large numbers

Related Idioms & Phrases

apply the central limit theorem
rely on the central limit theorem for statistical inference
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