Question

Suppose that in a large class, the instructor announces that the average grade on an exam is 75. Which is more likely to be closer to 75.
The exam grade of a randomly selected student in the class or the mean exam grade of a sample of 10 students? Explain your answer. ​

Answer 1

Answer:

The student's z-score will not change

Explanation:

Z-scores are used to compare results of an individual or entity to the average population's scores.

Since the adjustment of additional points is added to each class member's score, the adjustment will shift the entire distribution of scores. However, there will not be a change in the relative position of the student's score in the class. As a result, the student's z-score will not change.