Each year, the Center for Measuring University Performance produces a report on America's top research universities. The total expenditures (in thousands of dollars) for research for the top 20 ranked universities from the 2010 Annual Report are listed in the table.

a. Find the mean of the research expenditures for the top 20 ranked universities. Interpret this value.
b. Find the median of the research expenditures for the top 20 ranked universities. Interpret this value.
c. Consider a university president who is interested in the distribution of research expenditures of all American universities. Would the mean, part a, be a good measure of the center of this distribution? Explain.

Expenditures ($ thousands) Type Rank Institution 1 Johns Hopkins University 2University of California- San Francisco 3 University of Wisconsin 1,680,927 Private 885,182 Public 881,777 Public 876.390 Public University of Michigan University of California- 5 Los Angeles 871.478 Public University of California San Diego 842.027 Public 766,906 Private 765,135 Public 708,244 Private 702.592 Public 688,225 Private 682,662 Public 7 Duke University 8 University of Washington 9 Unversity of Pennsylvania 10 Ohio State University 1 Stanford University 12 University of Minnesota 13 Massachusetts Institute of Technology 659,626 Private 14 University of California- Davis 642519 Public 15 Pennsylvania State University620,432 Public 95,627 Public 16 17 University of Pittsburgh University of California- Berkeley 18 University of Florida 19 Texas A&M University 20 Washington University 591.770 Public 584,170 Public 582.365 Public St. Louis 563,967 Private