Consider a population that contains values of x equal to 0, 1, 2,..., 97, 98, 99. Assume that the values of x are equally likely. For the sample sizes n=2, n=5, n=10, n=30, and n=50, a computer was used to generate 500 random samples and calculate x for each sample. Relative frequency histograms of the 500 values of x were constructed for each of the sample sizes. What changes occur in the histograms as the value of n increases? What similarities exist?

What changes occur in the histograms as the value of n increases?

A) As the value of n increases, the x value of the histograms' central tendencies decrease.

B) As the value of n increases, the histograms become more spread out.

C) As the value of n increases, the x value of the histograms' central tendencies increase.

D) As the value of n increases, the histograms become less spread out.