During a Budget Meeting, Local School Board Members Decided to Review

During a budget meeting, local school board members decided to review class size
information to determine if budgets were correct. Summary statistics are shown in the
table. $$\begin{array} { | c | c | } \hline \bar { x } & 33.39 \text { students } \\\hline s & 5.66 \text { students } \\\hline \text { min } & 17 \\\hline \text { Q1 } & 29 \\\hline \text { median } & 33 \\\hline \text { Q3 } & 40 \\\hline \text { max } & 40 \\\hline\end{array}$$
a. Notice that the third quartile and maximum class sizes are the same. Explain how this
can be.
b. The school district declares that classes with enrollments fewer than 20 students are "too
small". Would you consider a class of 20 students to be unusually small? Explain.
c. The school district sets the office supply budgets of their high schools on the enrollment
of students. The district budgets each class $12 plus $0.75 per student, so a class with one
student receives $12.75 and the classes with 40 students rec $$12 + 0.75 ( 40 ) = \$ 42$$
. What is
the median class budget for office supplies? And the IQR?
d. What are the mean and standard deviation of the class office supply budgets?