1. Here are some fictional scores on a recent exam: 63, 72, 83, 95, 92, 68, 76, 85. The mean was 79.25 and the standard deviation was 10.67. Calculate a z score for a raw score of 65.

2. Laura learned that the average GPA in her school is 3.6 with a standard deviation of 0.3. If her GPA is a 3.0, what is her z score?

3. A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?

4. Neil scored 67 on his calculus class final and was devastated by his failing grade. His class distribution had a mean of 54 and a standard deviation of 7. Greg was quite proud of his score of 88 for his Spanish language class. His class distribution had a mean of 97 with a standard deviation of 6. Who did better relative to their class?

5. A researcher has collected data on self-esteem from a sample of participants. The sample mean is 30.00 with a standard deviation of 8.00. If Eric's raw score is 25 and Joe's score (expressed as a z score) is -0.50, who has scored lower on the self-esteem measure?