One implication of the central limit theorem is that a distribution of means will be more variable than a distribution of scores taken from the same population.

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Quizplus · Accepted Answer

The central limit theorem states that as sample size increases, the distribution of sample means approaches a normal distribution with a standard deviation equal to the population standard deviation divided by the square root of sample size. Therefore, a distribution of means will actually be less variable (have a smaller standard deviation) than a distribution of scores taken from the same population.

One Implication of the Central Limit Theorem Is That a Distribution