Who makes more? A manufacturing company is reviewing the salaries of its full-time employees below the executive level at a large plant. The clerical staff is almost entirely female, while a majority of the production workers and technical staff is male. As a result, the distributions of salaries for male and female employees may be quite different. The following table gives the frequencies and relative frequencies for women and men.

Women Men Salary ($1000) Number % Number %
10–15 89 11.8 26 1.1 15–20 192 25.4 221 9.0 20–25 236 31.2 677 27.6 25–30 111 14.7 823 33.6 30–35 86 11.4 365 14.9 35–40 25 3.3 182 7.4 40–45 11 1.5 91 3.7 45–50 3 0.4 33 1.3 50–55 2 0.3 19 0.8 55–60 0 0.0 11 0.4 60–65 0 0.0 0 0.0 65–70 1 0.1 3 0.1 Total 756 100.1 2451 99.9

(a) Explain why the total for women is greater than 100%.

(b) Make histograms for these data, choosing the vertical scale that is most appropriate for comparing the two distributions.

(c) Write a few sentences comparing the salary distributions for men and women.