Like the Empirical Rule,the Central Limit Theorem is only applicable to symmetric distributions.

Name: Like the Empirical Rule,the Central Limit Theorem is only applicable to symmetric distributions.
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The Central Limit Theorem is applicable to any distribution, regardless of its symmetry, as long as the sample size is large enough. However, for small sample sizes, a more symmetric distribution tends to have a more accurate approximation to normality.

Like the Empirical Rule,the Central Limit Theorem Is Only Applicable