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 using bins of [0, 2], (2, 4], (4, 6], (6, 8], (8, 10], 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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University Endowment Amount ($ billions) University Amherst College 2.2 Smith College Boston College 2.3 Boston University 2.0 Brown University 3.2 California Institute of Technology 2.6 Carnegie Mellon University 2.2 Case Western Reserve University 1.8 Los Angeles Columbia University 10.0 Comell University 6.8 Stanford University Swarthmore College Texas A&M University Tufts University University of California Endowment Amount ($ billions) University of California, Berkeley University of California, University of Chicago University of Illinois 1.8 24.8 2.0 11.6 1.7 9.8 1.8 Dartmouth College 5.0 University of Michigan Duke University 7.9 Emory University 6.9 George Washington University of Minnesota University of North Carolina at Chapel Hill 2.1 7.5 2.6 10.9 3.5 3.0 University 1.7 Georgetown University 1.7 University of Notre Dame University of Oklahoma Georgia Institute University of Pennsylvania 12.2 of Technology 2.0 University of Pittsburgh Grinnell College 1.9 Harvard University 36.0 Indiana University 2.2 University of Richmond University of Rochester University of Southem Johns Hopkins University 3.8 Massachusetts Institute of Technology 15.0 California University of Texas University of Virginia 26.5 Michigan State University 2.7 New York University 4.0 University of Washington University of Northwestern University 10.4 Wisconsin-Madison 222 223 2 9.4 1.6 3.9 2.4 2.1 5.1 8.6 2.5 2.7 Ohio State University 4.3 Vanderbilt University 4.1 Pennsylvania State Virginia Commonwealth University 4.0 University 1.8 Pomona College 2.2 Washington University in Princeton University 23.8 St. Louis 7.9 Purdue University 2.4 Wellesley College 1.9 Rice University 5.8 Williams College 2.5 Rockefeller University 2.0 Yale University 27.2