Does the Central Limit Theorem apply to all distributions?

  • No, it only applies to normal distributions.
  • No, it only applies to uniform distributions.
  • Yes, but only when the sample size is sufficiently large and the distribution has finite variance.
  • Yes, regardless of the sample size.
The Central Limit Theorem (CLT) applies to the sampling distribution of the mean for a wide range of underlying distributions, provided the sample size is sufficiently large and the underlying distribution has finite variance.
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