You work in the admissions department for a college and are asked to recommend the minimum SAT scores that the college will accept for a position as a full-time student. Here are the SAT scores for a sample of 50 applicants.
1760 1502 1375 1310 1601 1942
1380 2211 1622 1771 1150 1351
1682 1618 2051 1742 1463 1395
1860 1918 1882 1996 1525 1510
2120 1700 1818 1869 1440 1235
976 1513 1790 2250 2102 1905
1979 1588 1420 1730 2175 1930
1965 1658 2005. 2125 1260 1560
1635 1620
(a) Construct a relative frequency histogram for the data using 10 classes.
(b) If you set the minimum score at 1616, what percent of the applicants will meet this requirement? Explain your reasoning.
(c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain your reasoning.