Schmidt et al. (A-6) conducted a study to investigate whether autotransfusion of shed mediastinal blood could reduce the number of patients needing homologous blood transfusion and reduce the amount of transfused homologous blood if fixed transfusion criteria were used. The following table shows the heights in centimeters of the 109 subjects of whom 97 were males.

1.720 1.710 1.700 1.655 1.800 1.700 1.730 1.700 1.820 1.810 1.720 1.800 1.800 1.800 1.790 1.820 1.800 1.650 1.680 1.730 1.820 1.720 1.710 1.850 1.760 1.780 1.760 1.820 1.840 1.690 1.770 1.920 1.690 1.690 1.780 1.720 1.750 1.710 1.690 1.520 1.805 1.780 1.820 1.790 1.760 1.830 1.760 1.800 1.700 1.760 1.750 1.630 1.760 1.770 1.840 1.690 1.640 1.760 1.850 1.820 1.760 1.700 1.720 1.780 1.630 1.650 1.660 1.880 1.740 1.900 1.830 1.600 1.800 1.670 1.780 1.800 1.750 1.610 1.840 1.740 1.750 1.960 1.760 1.730 1.730 1.810 1.810 1.775 1.710 1.730 1.740 1.790 1.880 1.730 1.560 1.820 1.780 1.630 1.640 1.600 1.800 1.800 1.780 1.840 1.830 1.770 1.690 1.800 1.620 Source: Data provided courtesy of Erik Skjelbo, M.D.

(a) For these data construct the following distributions: frequency, relative frequency, cumulative frequency, and cumulative relative frequency; and the following graphs: histogram, frequency polygon, and stem-and-leaf plot.

(b) Describe these data with respect to symmetry and skewness as discussed in Exercise 2.3.1, part h.

(c) How do you account for the shape of the distribution of these data?

(d) How tall were the tallest 6.42 percent of the subjects?

(e) How tall were the shortest 10.09 percent of the subjects?