The Body Temperature of Students Is Taken Each Time a Student

Essay

The body temperature of students is taken each time a student goes to the nurse's office.
The five-number summary for the temperatures (in degrees Fahrenheit) of students on a particular day is: $$\begin{array} { | c | c | c | c | c | } \hline \text { Min } & \text { Q1 } & \text { Median } & \text { Q3 } & \text { Max } \\\hline 96.6 ^ { \circ } & 97.85 ^ { \circ } & 98.25 ^ { \circ } & 98.6 ^ { \circ } & 101.8 ^ { \circ } \\\hline\end{array}$$
a. Would you expect the mean temperature of all students who visited the nurse's office to be higher or lower than the median? Explain.
b. After the data were picked up in the afternoon, three more students visited the nurse's
office with temperatures of 96.7°, 98.4°, and 99.2°. Were any of these students outliers
(according to the original statistics above)? Explain.