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 are male. As a result, the distributions of salaries for male and female employees may be quite different. The table below gives the frequencies and relative frequencies for women and men.

(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.

A histogram is a graphing tool that is extensively used. It's used to summarise discrete or continuous data measured on a scale of one to ten. It's a standard way of exhibiting essential data distribution aspects in an easy-to-understand format.

We should point out that the number for women is $100.1$ percent rather than $100$ percent.

This $0.1$ percent difference is most likely due to rounding error.

The first bar has a width of $5$and runs from $10$to $15$The other bars are nearby and have a width of $10$The bar must be the same height as the percent.

Thus, the histogram is made.

Shape: Because the tallest bars are on the left of the histogram, both distributions are right-skewed.

Center: Because men's tallest bar is more to the right than women's, the center is higher for males than for women.

Spread: The spread for males is greater than the spread for women because men's histograms have one more bar (not nearly zero) than women's histograms.