Chapter 15, Problem 49E

A realty company has sold $N=341$ homes in the last year. The five-number summary for the sale prices is $Min=\$97,000$, $Q_1=\$115,000$, $M=\$143,000$, $Q_3=\$156,000$, and $Max=\$249,000$.

a. Find the interquartile range of the home sale prices.

b. How many homes sold for a price between $\$115,000$ and $\$156,000$ (inclusive)? (Note: If you don’t believe that you have enough information to give an exact answer, you should give the answer in the form of “at least” or “at most.”)