Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Megans best test score for Chemistry has a z-score of 0.5 as compared to all stu

ID: 3138763 • Letter: M

Question

Megans best test score for Chemistry has a z-score of 0.5 as compared to all students in his class. Which statement best interprets his z-score?

A:     Megans test score is 0.5 points lower than all students taking the same test.

B:     Megans test score is 0.5 points higher than all students taking the same test.

C:     Megans test score is 0.5 standard deviations below the mean for all students taking the same test.

D:     Megans test score is 0.5 standard deviations above the mean for all students taking the same test.

Explanation / Answer

A z-score is the number of standard deviations from the mean a data point is. Since it is positive here. So the correct answer is D. Megans test score is 0.5 standard deviations above the mean for all students taking the same test.