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Solved: What Would You Do? You work in the admissions
Chapter 2, Problem 46EC(choose chapter or problem)
Problem 46EC
What Would You Do? 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 of 50 applicants.
1760 |
1500 |
1370 |
1310 |
1600 |
1940 |
1380 |
2210 |
1620 |
1770 |
1150 |
1350 |
1680 |
1610 |
2050 |
1740 |
1460 |
1390 |
1860 |
1910 |
1880 |
1990 |
1520 |
1510 |
2120 |
1700 |
1810 |
1860 |
1440 |
1230 |
970 |
1510 |
1790 |
2250 |
2100 |
1900 |
1970 |
1580 |
1420 |
1730 |
2170 |
1930 |
1960 |
1650 |
2000 |
2120 |
1260 |
1560 |
1630 |
1620 |
(a) Construct a relative frequency histogram for the data. Use 10 classes.
(b) If you set the minimum score at 1610, what percent of the applicants will meet this requirement? Explain.
(c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain.
Questions & Answers
QUESTION:
Problem 46EC
What Would You Do? 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 of 50 applicants.
1760 |
1500 |
1370 |
1310 |
1600 |
1940 |
1380 |
2210 |
1620 |
1770 |
1150 |
1350 |
1680 |
1610 |
2050 |
1740 |
1460 |
1390 |
1860 |
1910 |
1880 |
1990 |
1520 |
1510 |
2120 |
1700 |
1810 |
1860 |
1440 |
1230 |
970 |
1510 |
1790 |
2250 |
2100 |
1900 |
1970 |
1580 |
1420 |
1730 |
2170 |
1930 |
1960 |
1650 |
2000 |
2120 |
1260 |
1560 |
1630 |
1620 |
(a) Construct a relative frequency histogram for the data. Use 10 classes.
(b) If you set the minimum score at 1610, what percent of the applicants will meet this requirement? Explain.
(c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain.
ANSWER:
Solution:
Step 1 of 4:
We have the SAT scores for 50 students.
1760 |
1500 |
1370 |
1310 |
1600 |
1940 |
1380 |
2210 |
1620 |
1770 |
1150 |
1350 |
1680 |
1610 |
2050 |
1740 |
1460 |
1390 |
1860 |
1910 |
1880 |
1990 |
1520 |
1510 |
2120 |
1700 |
1810 |
1860 |
1440 |
1230 |
970 |
1510 |
1790 |
2250 |
2100 |
1900 |
1970 |
1580 |
1420 |
1730 |
2170 |
1930 |
1960 |
1650 |
2000 |
2120 |
1260 |
1560 |
1630 |
1620 |