City planners wanted to know how many people live 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.
$\begin{array}{|c|c|}
\hline\bar{x} & 2.53 \text {people} \
\hline \text { s } & 1.40 \text {people} \
\hline\text { min } & 1 \
\hline\text { Q1 }& 1 \
\hline \text {median} & 2 \
\hline \text {Q3} & 3 \
\hline \text {max } & 10 \
\hline
\end{array}$

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?

Question

City planners wanted to know how many people live 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. 
$\begin{array}{|c|c|}
\hline\bar{x} & 2.53 \text {people} \
\hline \text { s } & 1.40 \text {people} \
\hline\text { min } & 1 \
\hline\text { Q1 }& 1 \
\hline \text {median} & 2 \
\hline \text {Q3} & 3 \
\hline \text {max } & 10 \
\hline
\end{array}$
 
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?

Quizplus · Accepted Answer

The Answer of City planners wanted to know how many people live 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. 
$\begin{array}{|c|c|}
\hline\bar{x} & 2.53 \text {people} \
\hline \text { s } & 1.40 \text {people} \
\hline\text { min } & 1 \
\hline\text { Q1 }& 1 \
\hline \text {median} & 2 \
\hline \text {Q3} & 3 \
\hline \text {max } & 10 \
\hline
\end{array}$
 
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?

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