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In 2003, the mean SAT math score for college-bound seniors was 519 with a standard deviation...

In 2003, the mean SAT math score for college-bound seniors was 519 with a standard deviation of 115. If you scored a 740, you scored better than what percentage of college-bound seniors who took the exam? Express your answer as a decimal rounded to 4 places.

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Answer #1

Given that the mean SAT math score for college-bound seniors was = 519 with a standard deviation of = 115. If I scored a 740 hence to find the percentage of the score who less than 740 then we need to find the Z score which is calculated as:

Thus the probability below the Z score 1.922 is calculated using the excel formula for normal distribution which is =NORM.S.DIST(1.922, TRUE), thus the probability is computed as 0.9727.

Thus I scored better than 0.9727*100 = 97.2697% of college-bound seniors who took the exam.

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