12.19 Minority students in engineering. Figure 11.12 (page 259) is a histogram of the number of minority students (black, Hispanic, Native American) who earned doctoral degrees in engineering from each of 152 universities in the years 2000 through 2002. The classes for Figure 11.12 are 1–5, 6–10, and so on.
(a) What is the position of each number in the five-number summary in a list of 152 observations arranged from smallest to largest?
(b) Even without the actual data, you can use your answer to (a) and the histogram to give the five-number summary approximately. Do this. About how many minority engineering PhDs must a university graduate to be in the top quarter?