Question

Suppose a student earns a 75 on his statistics​ exam, and his grade has a​ z-score of 1.5. Since the class did not perform well on the​ exam, the professor announces that she will adjust the grades by adding 10 points to each score. How will this adjustment change the​ student's z-score?

Answer 1

The student's z-score will not change

Step-by-step 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.