Question

in dr. smith’s introductory statistics course, the median final exam score is 82 points. what can we conclude based on this information? it’s possible that no student in the course earned exactly 82 points on the final exam. the distribution of exam scores is unimodal and 82 points is the most frequently occurring exam score. the maximum possible score a student could earn on the final exam is 82 points. on average, students are scoring 82 points on the final exam. 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's possible that no data point equals the median value. For example, if there are an even number of students, the median is the average of the two middle - values. So it's possible that no student scored exactly 82 points. The mode is the most frequently occurring value (not related to the median), the median doesn't indicate the maximum score, the mean is the average score (not the same as the median), and for an odd number of students, more than half can have scores above or below the median depending on the distribution.

Answer:

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