Question

If SAT mathematics scores are approximately normal with a mean of 500 and a standard deviation of 100, what percent of students do you expect will score better than 730 ?

Answer 1

1.07%

Explanation:

730 - 500 = 230 so 730 is 230 /100 = 2.3 S.D. ABOVE the mean

z-score = + 2.3 corresponds to .9893 this is the fraction of the whole LESS than 730 the fraction ABOVE would be

1- .9893 = .0107 = 1.07 %