When I taught math at Equestria high school, my statistics class had a mean grade of 75 and a standard deviation of 4.5 on the first test, while my trigonometry class had a mean grade of 75 and a standard deviation of 6.5 on their first test. Both tests had a normal distribution. Rarity scored an 80 on her first statistics test. Pinkie Pie scored an 80 on her first trigonometry test. Compare their standardized z-scores to determine who did better relative to the rest of their math class.
a. Rarity has a higher z-score, so she fared better than Pinkie Pie when compared to their respective classmates.
b. Pinkie Pie has a higher z-score, so she fared better than Rarity when compared to their respective classmates.
c. They both scored an 80, so there z-scores are also equivalent.