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Students Taking an Intro Stats Class Reported the Number of Credit

Question 88

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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. xˉ16.65s2.96 min 5 Q1 15 median 16 Q3 19 max 28\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 for \$ 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.

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