SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8. A student takes both tests while a junior and scores 860 on the SAT and 16 on the
ACT. Compare the scores.
A)A score of 860 on the SAT test was better.
B)A score of 16 on the ACT test was better.
C)The two scores are statistically the same.
D)You cannot determine which score is better from the given information.

Question

Quizplus · Accepted Answer

The student's SAT score is (860 - 1026) / 209 = -0.79 standard deviations below the mean, while their ACT score is (16 - 20.8) / 4.8 = -1.00 standard deviations below the mean. Therefore, the student's SAT score was better.

SAT Scores Have a Mean of 1026 and a Standard