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. 1325 1072 982 996 872 849 785 706 669 1049 885 1367 935 980 1188 869 1006 1127 979 1034 1052 1165 1359 667 1264 727 808 955 544 1202 1051 1173 410 1148 1195 1141 1193 768 812 887 1211 1266 830 672 917 988 791 1035 688 700 (a) Construct a relative frequency histog
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.
1325 1072 982 996 872 849 785 706 669 1049
885 1367 935 980 1188 869 1006 1127 979 1034
1052 1165 1359 667 1264 727 808 955 544 1202
1051 1173 410 1148 1195 1141 1193 768 812 887
1211 1266 830 672 917 988 791 1035 688 700
(a) Construct a relative frequency histogram for the data using 10 classes.
(b) If you set the minimum score at 986, 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.
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