SAT scores are an example of standardized tests that allow us to compare results of students from around the country. Suppose the mean score of a student who takes the SAT scores a 520 on the Math portion, with σ=12 points. The mean English score is 535 with σ=14 points.
What does it mean if a student’s score on the English portion has a z-score of 1.5?
If a student’s z-score for the Math was +1.4 and their English score was +1.6, on which portion did they score better relative to all other students?
Find the actual test scores for the z-scores from problem (b).
If Avery scores a 510 on the Math and a 508 on the English, on which section did she score better relative to all students in the country?
Find the and of the combined scores for Math + English.
Use part e to find and interpret the z-score for a student who scored an 1150 overall.
Use part e to find and interpret the z-score for a student who scored a 1000 overall.
Test A has a mean score of 45 with a standard deviation of 3.5 and test B has a mean score and standard deviation of 20 and 1.75, respectively. Ralph scored a 50 on test A, and Louise scored a 22 on test B. Who had the better score?
Be the first to answer this question.