Question

consider the exam scores for 46 students when 5 students scored between 90 and 100, 7 students scored between 80 and 89, 22 students scored between 70 and 79, with their scores spread out to a low of 40. complete parts a through d. 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 two peaks, because even though each exam score could be anywhere between 0 and 100, the scores were clustered between 80 to 89 and between 70 to 79. 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 many peaks corresponding to the different exam scores that each student had. b. make a sketch of the distribution. choose the correct answer below.

Explanation:

Step1: Analyze score - ranges

We have 5 students in 90 - 100, 7 students in 80 - 89, 22 students in 70 - 79, and the rest of the 46-(5 + 7+22)=12 students in scores below 70. The scores are clustered mainly in the 70 - 79 range and there are smaller clusters in other ranges.

Step2: Determine number of peaks

Since there are distinct clusters of scores in different ranges, we expect multiple peaks. The clusters in 70 - 79, 80 - 89 and 90 - 100 suggest multiple peaks.

Answer:

D. There would probably be many peaks corresponding to the different exam scores that each student had.