(a) Compute the mean, variance, and standard deviation.
(b)The frequency polygon of Figure 2.3 is based on the grouping (arbi-
trary choices) shown in Table E2.8. Plot the cumulative frequency
graph and obtain, approximately, the median from this graph. How
does the answer compare to the exact median (the sixteenth largest
saturation percentage)?TABLE E2.8
Interval (%) Frequency Interval (%) Frequency
40–49 2 100–109 2
50–59 4 110–119 5
60–69 3 120–129 1
70–79 4 130–139 1
80–89 8 140–149 0
90–99 12.9 The study cited in Example 2.4 also provided data (percentage satura-
tion of bile) for 29 women. These percentages were65 58 52 91 84 107
86 98 35 128 116 84
76 146 55 75 73 120
89 80 127 82 87 123
142 66 77 69 76
(a) Form a frequency distribution using the same intervals as in Exam-
ple 2.4 and Exercise 2.8.
(b)Plot in the same graph and compare the two frequency polygons and
cumulative frequency graphs: men and women.
(c) Compute the mean, variance, and standard deviation using these
new data for women and compare the results to those for men in
Exercise 2.8.
(d) Compute and compare the two coe‰cients of variation, men versus
women.2.10 The following frequency distribution was obtained for the preopera-
tional percentage hemoglobin values of a group of subjects from a vil-
lage where there has been a malaria eradication program (MEP):
Hemoglobin (%) 30–39 40–49 50–59 60–69 70–79 80–89 90–99
Frequency 2 7 14 10 8 2 2EXERCISES 95