21. Use the following figure, which gives the amounts of federal research money given to 15 universities in 1992, to answer this problem.

(a) Which universities were given more than $225 million?

(b) Approximate the sample mean of the amounts given to these universities.

(c) Approximate the sample variance of the amounts given to these universities.

(d) Approximate the quartiles of the amounts given to these universities.

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Johns Hopkins University Mass. Institute of Technology Stanford University University of Washington University of Michigan University of CA-Los Angeles University of CA-San Diego University of CA-San Francisco University of Wisconsin-Madison Columbia University-Main Division University of Pennsylvania University of Minnesota Harvard University Yale University University of Pittsburgh 0 50 100 150 200 250 300 350 400 450 500 550 Millions of dollars Source: Chart prepared by U.S.Bureau of the Census