Question

consider the distribution of exam scores (graded from 0 to 100) for 77 students when 38 students got an a, 22 students got a b, and 17 students got a c. complete parts (a) through (d) below.
a. how many peaks would you expect for the distribution?
○ a. there would probably be no peaks. the distribution of grades always tends to be uniform.
○ b. there would probably be many peaks corresponding to the different exam scores that each student had.
○ c. there would probably be one peak because there are no obvious reasons why the exam scores would form different groups.
○ d. there would probably be three peaks, because even though each exam score could be anywhere between 0 and 100, the only grades received were a, b, and c.

Explanation:

The distribution of exam scores is grouped into three grade categories (A, B, C), each representing a range of scores. Each category has a significant number of students (38, 22, 17), so each grade range likely forms a cluster of scores, leading to a peak for each cluster.

Answer:

D. There would probably be three peaks, because even though each exam score could be anywhere between 0 and 100, the only grades received were A, B, and C.