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?

High school students and college students were surveyed to see what type of movies they prefer The results are as follows High schoolAction 26 Drama 14 Comedy 2 class=
High school students and college students were surveyed to see what type of movies they prefer The results are as follows High schoolAction 26 Drama 14 Comedy 2 class=

Respuesta :

It's asking for two-way relative frequency so the answer must be in relative form.

If I'm not wrong that would be the last table D.

Answer:

Hence, the two way frequency table is:

                   Action                 Drama                Comedy         total

Highschool  26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College      20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                   0.36                        0.33                     0.31                   1

Step-by-step explanation:

" When a two-way table displays percentages or ratios (called relative frequencies), instead of just frequency counts, the table is referred to as a two-way relative frequency table " .

We are given a table or data  as:

                          Action              Drama                     Comedy     Total

Highschool        26                     14                            22                 62

College              20                     28                            18                 68

------------------------------------------------------------------------------------------------------------

Total                            46                      42                           40               128

The total number of students in all the categories and classes are: 128

Hence the two way frequency table is constructed by dividing all the frequencies by the total number of students i.e. 128.

                                Action                 Drama                Comedy         total

High school      26/128=0.20          14/128=0.11           22/128=0.17     0.48      

College           20/128=0.16            28/128=0.22        18/128=0.14      0.52          

----------------------------------------------------------------------------------------------------------

total                      0.36                        0.33                     0.31                   1