The ACT Assessment® is designed to assess high school students€™ general educational development and their ability to complete college-level work. The table lists the mean and standard deviation of scores attained by the 3,908,557 high school students from the 2006 to 2008 graduating classes who took the ACT exams.

Convert the following ACT test scores to z-scores for both English and math. Compare placement between the two tests.
a. x = 30
b. x = 23
c. x = 12
d. Explain why the relative positions in English and math changed for the ACT scores of 30 and 12.
e. If Jessica had a 26 on one of the ACT exams, on which of the exams would she have the best possible relative score? Explain why.

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2006-2008 Mean Standard English Mathematics Reading Science Composite 20.621.0 21.4 20.9 21.1 deviation 5.1 6.1 4.8 49 Source: American College Testing