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In 2007, when she was a high school senior, Eleanor scored 680 on the mathematics part of the SAT. The distribution of SAT math scores in 2007 was Normal with a mean of 515 and a standard deviation of 114. Gerald took the ACT mathematics test and scored 27. ACT math scores for 2007 were normally distributed with a mean of 21.0 and a standard deviation of 5.1. Find the z-score for each student. Assuming both tests measure the same kind of ability, which student had the higher score?

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