Suppose you had a rectangular distribution (like that of the playing cards in Chapter 7). Drawing random samples of 25 cards, finding the mean of the 25, and doing this repeatedly would result in many means. If these means were arranged into a frequency distribution, you would expect the distribution to be
A) rectangular
B) bimodal
C) normal
D) any of the other alternatives, depending on how effective the sampling was.

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, regardless of the shape of the population distribution, the sampling distribution of the mean will approach a normal distribution as the sample size increases. In this case, repeatedly drawing samples of 25 cards and calculating their means would result in a distribution of those means that is normal, not reflecting the original rectangular distribution of the population.

Suppose You Had a Rectangular Distribution (Like That of the Playing