(Solved): In a certain college, entering freshmen averaged 560 on the math SAT; the SD was about 90. The histo ...

In a certain college, entering freshmen averaged 560 on the math SAT; the SD was about 90. The histogram of the math SAT scores followed the normal curve reasonably well. (a) About what percentage of entering freshmen scored below 695? (b) One student was 0.85 SDs above average on the math SAT. About what percentage of entering freshmen had lower scores than she did? Among freshman entering a certain college, the math SAT scores aver- aged 560, the SD was 90, and the scores followed the normal curve. (a) Estimate the 90th percentile of the score distribution. (b) Estimate the 20th percentile of the score distribution. (c) One freshman scored 700 on the math SAT. What was her per- centile rank (among all the freshmen)? A distribution follows the normal curve. Estimate in standard units its interquartile range.