Chapter 19, Problem 31P

A total of $\text{20}$ men and $\text{20}$ women volunteer to participate in a statistics project. The height and weight of each subject are given in the table.

a. Draw one histogram for height of the subjects and a separate histogram for weight. Use different colors for men and women so that you can visually compare the distributions by sex and plot weights in $\text{10-lb}$ intervals $\left(\text{i}\text{.e}\text{., 90–99 lb, 100–109 lb, 110–119 lb, etc}\text{.}\right)\text{.}$

b. Calculate the mean, variance, and standard deviation for height and weight in men and women.

c. Compare the numerical values with the visual distribution of heights and weights you drew in the histograms and describe whether you think your visual impression matches the numerical values.