Suppose the population of IQ scores in the town or city where you live is bell$-$shaped, with a mean of $109$ and a standard deviation of $35.$ Describe the frequency curve for possible sample means that would result from random samples of $100$ IQ scores.

Using the Rule for Sample Means, we would expect the possible sample means to be bell$-$shaped, with a mean of and a standard deviation of $.$ Therefore, we would find them: between and about $68\%$ of the time, between and about $95\%$ of the time, between and about $99\mathrm{.}7\%$ of the time.