Question: Scores on the ACT test for the 2004 high school graduating class had mean 20.9 and standard deviation 4.8. In all, 1,171,460 students in this class took the test, and 1,052,490 of them had scores of 27 or lower.

(a) (6) If the distribution of scores were Normal, what percent of scores would be 27 or lower?

(b) (3) What percent of the actual scores were 27 or lower?

(c) (6) Does the Normal distribution seem to describe the data well? Why or why not?