A teacher returns an exam with possible scores ranging from 0 to 100. The students suspect that the majority of them performed poorly on the exam and request summary statistics. The teacher provides the mean, which was 72, as a summary statistic. A total of 400 students took the exam. Some of the students find the mean to be high, based on talking to other students. They take a random sample of 15 students, and they find that the mean equals 71.5 while the median equals 62. Based on this result, we conclude that:
A)there are possibly some large outliers in these data.
B)exam scores are likely right-skewed.
C)50% of the students barely managed to pass the exam.
D)All of the answer options are correct.

Question

Quizplus · Accepted Answer

The mean is higher than the median, which suggests that there are possibly some large outliers in these data. The exam scores are likely right-skewed, which means that there are more low scores than high scores. 50% of the students barely managed to pass the exam, which means that the median score is 62.

A Teacher Returns an Exam with Possible Scores Ranging from 0