Solved: What Would You Do? You work in the admissions

Chapter 2, Problem 46EC

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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.

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


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