Question

1. in dr. smith’s introductory statistics course, the median final exam score is 82 points. what can we conclude based on this information? a. it’s possible that no student in the course earned exactly 82 points on the final exam. b. the distribution of exam scores is unimodal and 82 points is the most frequently occurring exam score. c. the maximum possible score a student could earn on the final exam is 82 points. d. on average, students are scoring 82 points on the final exam. e. exactly half of dr. smith’s students must have had exam scores of 82 points or higher.

Explanation:

The median is the middle - value when data is ordered. It is possible that no data point has the exact value of the median. For example, if there are an even number of students and the two middle - ranked scores average to 82, no student may have scored exactly 82. The median has nothing to do with modality (unimodal), maximum score, or average (mean). Also, for an odd number of students, it's not exactly half above and half below; for an even number, it's the average of the two middle values.

Answer:

A. It's possible that no student in the course earned exactly 82 points on the final exam.