Suppose you collect the following information on salaries for two groups of college professors: professors in the sciences and professors in the humanities.

(a) Compute the ranks for each group.

(b) Do we lose information by converting numerical information into ranks?

(c) Are means and variances of ranks meaningful?

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Science professor $52,500 $68,270 $55,000 $48,900 $75,000 Humanities professors $29,200 $42,700 $51,000 $37,000 $41,000