One of the main selling points of amusement parks is their selection of roller coasters. The following is the height of every roller coaster at Cedar Point (as of 2021).

19 38 43 48 76 78 85 105 125 137 145 170 205 205 223 310 420

a) (4 pts) By hand, find the five-number summary for these heights. (You can check with R, but remember that the quartiles will be different.)

b) (4 pts) By hand, find the IQR and use the 1.5 x IQR rule to determine if there are any outliers. (Again, R will find a different value for the IQR since it is calculated differently.)

c) (6 pts) Create a boxplot of the heights of the roller coasters. You may use R or your calculations above to do it by hand.