3.29 The report “Trends in College Pricing 2012” (www

.collegeboard.com) included the information in the accompanying relative frequency distributions for public and for private not-for-profit four-year college students.

Public Four-Year College Students Private Notfor-

Profit Four-Year College Students Tuition and Fees Proportion of Students (Relative Frequency)

Proportion of Students (Relative Frequency)

0 to , 3,000 .009 .000 3,000 to , 6,000 .107 .066 6,000 to , 9,000 .436 .011 9,000 to, 12,000 .199 .027 12,000 to , 15,000 .124 .032 15,000 to , 18,000 .033 .030 18,000 to , 21,000 .027 .052 21,000 to , 24,000 .019 .074 24,000 to , 27,000 .015 .103 27,000 to , 30,000 .020 .094 30,000 to , 33,000 .005 .103 33,000 to , 36,000 .003 .103 36,000 to , 39,000 .002 .066 39,000 to , 42,000 .002 .080 42,000 to , 45,000 .000 .136 45,000 to , 48,000 .000 .022

a. Construct a relative frequency histogram for tuition and fees for students at public four-year colleges. Write a few sentences describing the distribution of tuition and fees, commenting on center, spread, and shape.

b. Construct a relative frequency histogram for tuition and fees for students at private not-for-profit fouryear colleges. Be sure to use the same scale for the vertical and horizontal axes as you used for the histogram in Part (a). Write a few sentences describing the distribution of tuition and fees for students at private not-for-profit four-year colleges.

c. Write a few sentences describing the differences in the distributions.