Suppose you received a score of 95 out of 100 on exam 1. The mean was 79 and the standard deviation was 8. If your score on exam 2 is 90 out of 100, and the mean was 60 with a standard deviation of 15, then you did:

better on exam 1.

worse on exam 1.

the same on both exams.

worse on exam 2

You did the same on both exams.

Step-by-step explanation:

To compare both the scores, we need to compute the z scores of both the exams and then compare the values. The formula for z-score is:

Z = (X - μ) / σ

Where X = score obtained

μ = mean score

σ = standard deviation

For Exam 1:

Z = (95 - 79) / 8

= 16/8

Z = 2

For Exam 2:

Z = (90 - 60) / 15

= 30/15

Z = 2

The z-scores for both the tests are same hence the third option is correct i. e. you did the same on both exams.