The scores (in points) on a test are described by the boxplot in Fig. 106.

a. Assume the cutoff for the grade D is 40 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 40 students took the test, how many earned a Con the test?
c. A student says more students earned Cs than Bs on the test because the left side of the box is longer than the right 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.

Transcribed Image Text:

Test Scores 40 50 60 70 80 90 100 Points