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

question 709

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?

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Definitions:

Frederic Bastiat

A French economist and author known for his theories on economics and his advocacy of free markets and limited government.

Economic Theory

A set of principles and concepts that helps in the explanation and prediction of economic phenomena.

International Trade

The exchange of goods and services between countries, allowing for greater variety and availability of resources and products.

Domestic Consumption

The total amount of goods and services consumed by the residents of a country.