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Answer :
Answer:
To determine the percent of students who meet the University of Michigan's recommended SAT math score of at least 730, we need to consider the distribution of SAT math scores. The College Board reports that the average SAT math score is around 528, with a standard deviation of approximately 123 points. Using this information, we can calculate the percentage of students scoring equal to or above 730.
First, we calculate the z-score for a score of 730:
z = (730 - 528) / 123
z = 202 / 123
z ≈ 1.64
Next, we refer to the standard normal distribution table (Z-table) to find the percentage of test-takers with a z-score of 1.64. The table indicates that approximately 45.1% of students would achieve a score at or above 730. Therefore, about 45.1% of students who took the SAT math test would meet the University of Michigan's recommended score threshold.
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