Chris is enrolled in a college algebra course and earned a

Last updated: 7/7/2022

Chris is enrolled in a college algebra course and earned a score of 260 on a math achievement test that was given on the first day of class. The instructor looked at two distributions of scores, one is the distribution for all freshmen who took the test, and the other is a distribution for students enrolled in this algebra course. Both are approximately normally distributed and have the same mean, but the distribution for the algebra course has a smaller standard deviation. A z-score is calculated for Chris' test score in both distributions (all freshmen and all freshmen taking algebra). Given that Chris' score is well above the mean, which of the following would be true about these two z-scores? The z-score based on the distribution for the algebra students would be higher. The z-score based on the distribution for all freshmen would be higher. The two z-scores would be the same. It cannot be determined.