City Planners Wanted to Know How Many People Lived in a Typical

Essay

City planners wanted to know how many people lived in a typical housing unit so they
compiled data from hundreds of forms that had been submitted in various city offices.
Summary statistics are shown
in the table. $\begin{array}{|c|c|}\hline \bar{x} & 2.53 \text { people } \\\hline s & 1.40 \text { people } \\\hline \text { min } & 1 \\\hline \text { Q1 } & 1 \\\hline \text { median } & 2 \\\hline \text { Q3 } & 3 \\\hline \max & 10 \\\hline\end{array}$

a. Notice that the minimum occupancy and the first quartile are the same. Explain how this can be.
b. The city classifies residences housing 4 or more people as "high occupancy". Would you consider 4 occupants to be unusually high? Explain.
c. The city bases their garbage disposal fee on the occupancy level of the home or apartment. The annual fee is $\$ 40$ plus $\$ 5$ per person, so a single occupant pays $\$ 45$ and the homes with 10 people pay $\$ 40 + \$ 5 ( 10 ) = \$ 90$ a year. What is the median fee paid? And the IQR?
d. What are the mean and standard deviation of the garbage disposal fees?