The scores (in points) on a test are described by the boxplot in Fig. 105.

a. Assume the cutoff for the grade D is 50 points and the cutoffs for the grades A, B, and C are at the 75th, 50th, and 25th percentiles, respectively. Find the cutoffs for the grades A, B, and C.
b. If 32 students took the test, how many earned a B on the test?
c. A student says more students earned Bs than Cs on the test because the right side of the box is longer than the left side. What would you tell the student?
d. Assume the instructor normally uses the cutoffs 90 points, 80 points, 70 points, and 50 points for the grades A, B, C, and D, respectively. Which would students prefer, the cut-offs the instructor normally uses or the ones described in part (a)? Explain.

Test Scores 50 60 70 80 90 100 Points