University endowments are financial assets that are donated by supporters to be used to provide income to universities. There is a large discrepancy in the size of university endowments. The following table provides a listing of many of the universities that have the largest endowments as reported by the National Association of College and University Business Officers in 2017. 

Summarize the data by constructing the following: 

a. A frequency distribution (classes 0–1.9, 2.0–3.9, 4.0–5.9, 6.0–7.9, and so on).

b. A relative frequency distribution. 

c. A cumulative frequency distribution. 

d. A cumulative relative frequency distribution. 

e. What do these distributions tell you about the endowments of universities? 

f. Show a histogram. Comment on the shape of the distribution. 

g. What is the largest university endowment and which university holds it?

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Endowment Amount ($ Billion) University Endowment Amount ($ Billion) University Amherst College Boston College Smith College Stanford University Swarthmore College Texas A&M University Tufts University University of California University of California, Berkeley University of California, Los Angeles University of Chicago University of Illinois University of Michigan University of Minnesota University of North Carolina at Chapel Hill University of Notre Dame University of Oklahoma University of Pennsylvania University of Pittsburgh University of Richmond University of Rochester University of Southern California 2.2 1.8 2.3 24.8 Boston University Brown University 2.0 2.0 3.2 11.6 California Institute 1.7 2.6 of Technology Carnegie Mellon University 9.8 2.2 1.8 Case Western Reserve University Columbia University Cornell University Dartmouth College Duke University Emory University George Washington University Georgetown University Georgia Institute of Technology Grinnell College Harvard University Indiana University Johns Hopkins University 1.8 2.1 10.0 7.5 6.8 2.6 5.0 10.9 7.9 3.5 6.9 3.0 1.7 9.4 1.7 1,6 12.2 2.0 3.9 1.9 2.4 36.0 2.1 2.2 3.8 5.1 University of Texas University of Virginia University of Washington University of Wisconsin-Madison Massachusetts Institute 26.5 of Technology Michigan State University New York University Northwestern University Ohio State University Pennsylvania State University Pomona College Princeton University Purdue University Rice University Rockefeller University 15.0 8.6 2.7 2.5 4.0 10.4 2.7 Vanderbilt University Virginia Commonwealth University Washington University in St. Louis Wellesley College Williams College Yale University 4.3 4.1 4.0 1.8 2.2 23.8 7.9 2.4 1.9 5.8 2.5 2.0 27.2 52.