Students Taking an Intro Stats Class Reported the Number of Credit

Essay

Students taking an intro stats class reported the number of credit hours that they were taking that quarter. Summary statistics are shown in the table. $$\begin{array} { | l | c | } \hline \bar { x } & 16.65 \\\hline s & 2.96 \\\hline \text { min } & 5 \\\hline \text { Q1 } & 15 \\\hline \text { median } & 16 \\\hline \text { Q3 } & 19 \\\hline \text { max } & 28 \\\hline\end{array}$$
a. Suppose that the college charges $73 per credit hour plus a flat student fee of $35 per quarter. For example, a student taking 12 credit hours would pay $ $\$ 35 + \$ 73 ( 12 ) = \$ 911 \text { for }$ that quarter.
i. What is the mean fee paid?
ii. What is the standard deviation for the fees paid?
iii. What is the median fee paid?
iv. What is the IQR for the fees paid?
b. Twenty-eight credit hours seems like a lot. Would you consider 28 credit hours to be
unusually high? Explain.