3.8 The report “Findings from the 2009 Administration of the College Senior Survey” (Higher Education Research Institute, 2010) asked a large number of college seniors how they would rate themselves compared to the average person of their age with respect to physical health. The accompanying relative frequency table summarizes the responses for men and women.

Rating of Physical Health Relative Frequency Men Women Highest 10% .359 .227 Above average .471 .536 Average .160 .226 Below average .009 .007 Lowest 10% .001 .004

a. Construct a comparative bar graph of the responses that allows you to compare the responses of men and women.

b. There were 8110 men and 15,260 women who responded to the survey. Explain why it is important that the comparative bar graph be constructed using the relative frequencies rather than the actual numbers of people (the frequencies) responding in each category.

c. Write a few sentences commenting on how college seniors perceive themselves with respect to physical health and how men and women differ in their perceptions.