Question

High school students and college students were surveyed to see what type of movies they prefer. The results are as follows: High school—Action: 26; Drama: 14; Comedy: 22 College—Action: 20; Drama: 28; Comedy: 18 Which of the following is a correct two-way relative frequency table for the data?

Answer 1

The table with high school total .48 and action total .36

Explanation:

In a conditional relative frequency table, each part is taken over the total. The percentages for the row totals should add to 1, and the percentages for the column totals should add to 1

Answer 2

The correct option is 1.

Explanation:

The given results are

High school—Action: 26

High school— Drama: 14

High school— Comedy: 22

College—Action: 20

College—Drama: 28

College—Comedy: 18

The frequency table for the given data is

Action Drama Comedy Row Total

High school 26 14 22 62

College 20 28 18 66

Column total 46 42 40 128

Total number students is 128. Divide each frequency by 128 to find the relative frequency table.

Action Drama Comedy Row Total

High school 0.20 0.11 0.17 0.48

College 0.16 0.22 0.14 0.52

Column total 0.36 0.33 0.31 1

Therefore the correct option is 1.