Suppose you had a rectangular distribution (like that of the playing cards, pictured in Chapter 6). Suppose you drew many, many random samples of 25 scores and found the mean. If these means were arranged into a frequency distribution, you would expect the distribution to be
A) rectangular
B) bimodal
C) either of the descriptive alternatives are correct
D) neither of the descriptive alternatives is correct.

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. Therefore, even if the original distribution is rectangular, the distribution of the means of samples will be normal, not rectangular or bimodal.

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