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 nequals=​2, nequals=​5, nequals=​10, nequals=​30, and nequals=​50, a computer was used to generate 500 random samples and calculate x overbarx for each sample. Relative frequency histograms of the 500 values of x overbarx were constructed for each of the sample sizes. What changes occur in the histograms as the value of n​ increases? What similarities​ exist?

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