In probability theory, the central limit theorem (CLT) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges to a standard normal distribution.

Nov 6, 2025 · The Central Limit Theorem in Statistics states that as the sample size increases and its variance is finite, then the distribution of the sample mean approaches the normal distribution, …

Nov 5, 2021 · The central limit theorem states that the sampling distribution of a sample mean is approximately normal if the sample size is large enough, even if the population distribution is not …

Oct 29, 2018 · The central limit theorem in statistics states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution regardless …

Nov 6, 2025 · Central limit theorem, in probability theory, a theorem that establishes the normal distribution as the distribution to which the mean (average) of almost any set of independent and …

Jul 6, 2022 · The central limit theorem states that if you take sufficiently large samples from a population, the samples’ means will be normally distributed, even if the population isn’t normally …

Feb 4, 2025 · Central Limit Theorem (CLT) states that when you take a sufficiently large number of independent random samples from a population (regardless of the population’s original distribution), …