During 1999, 1,220,130 college-bound high school seniors took the Scholastic Aptitude Test (SAT). The average score on the mathematics component was 511, with a standard deviation of 114.We are assuming that the SATmath scores in data file XR03067 could have been the math scores for a sample of 400 college-bound seniors who took the SAT that year. (An important note: The mean and the standard deviation for our sample are close, but not exactly the same as the mean and standard deviation of the population from which the sample was obtained this is a key concept that is central to Chapter 8, Sampling Distributions.) Based on the assumed sample data in file XR03067, 

a. Determine the mean, the median, and the standard deviation of the math scores in the sample.
b. Generate and interpret the box-and-whisker plot for the math scores in the sample.

c. What math score would a test-taker have to achieve to be higher than 75% of the sample members? To be higher than 25% of the sample members?