Lamont took a psychology exam whose mean was 70 with standard deviation 5.He also took a calculus exam whose mean was 80 with standard deviation 10.He scored 85 on both exams.On which exam did he do better compared to the other students who took the exam?
A)He did better on the psychology exam,comparatively speaking.
B)He did better on the calculus exam,comparatively speaking.
C)He did the same on both exams,relatively speaking.
D)Cannot tell without more information.

Question

Quizplus · Accepted Answer

To determine on which exam Lamont did better compared to other students, we calculate the z-score for each exam. The z-score is calculated as (score - mean) / standard deviation. For the psychology exam, the z-score is (85 - 70) / 5 = 3. For the calculus exam, the z-score is (85 - 80) / 10 = 0.5. A higher z-score indicates a better performance relative to the mean, so Lamont did better on the psychology exam comparatively.

Lamont Took a Psychology Exam Whose Mean Was 70 with Standard