One of the things that the Central Limit Theorem tells us is that about half of the sample means will be greater than the population mean and about half will be less.

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The Central Limit Theorem states that the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. In a normal distribution, about half of the values will be greater than the mean and about half will be less.

One of the Things That the Central Limit Theorem Tells