# A random sample of 1200 U.S. college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight,

Two-way tables

A random sample of 1200 U.S. college students was asked, "What is your perception of your own body? Do you feel that you are overweight, underweight, or about right?" The two-way table summarizes the data on perceived body image by gender. $$\begin{array}{ccc} & \text{Gender} \\ \text{Body image} & {\begin{array}{l|c|c|r} & \text { Female } & \text { Male } & \text { Total } \\ \hline \text { About right } & 560 & 295 & 855 \\ \hline \text { Overwerght } & 163 & 72 & 235 \\ \hline \text { Underweight } & 37 & 73 & 110 \\ \hline \text { Total } & 760 & 440 & 1200 \end{array}} \\ \end{array}$$

What percent of respondents feel that their body weight is about right?

2021-06-01
The study includes 1200 U.S. college students.
Female Male Total
About right 560 295 855
Overweight 163 72 235
Underweight 37 73 110
Total 760 440 1200
We then note that 72 of the 1200 US, college students are males who feel they are overweight (as 72 is mentioned in the row ""Overweight” and in the column ”Male” of the table) and 73 of the 1200 U.S. college students are males who feel they are underweight (as 73 is mentioned in the row Underweight” and in the column ”Male” of the table).
$$\displaystyle\frac{{855}}{{1200}}=\frac{{57}}{{80}}={0.7125}={71.25}\%$$
Thus 71.25% of the respondents feel that their body weight is about right.