Question

Males and females (ages 13–18) were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV. The survey showed the following frequencies:

Females—playing computer games: 4; music: 20; watching movies/TV: 16 Males—playing computer games: 15; music: 12; watching movies/TV: 13

Which of the following is a correct two-way frequency table for the data?

Answer 1

Gender | Games| Music | Movies/TV |
Female | 4 | 20 | 16
Male | 15 | 12 | 13
Total | 19 | 32 | 29


Something like that :)

Answer 2

The required two-way frequency table for the data is attached below.

Explanation:

The given data represents the Males and females (ages 13–18) who choose favorite free-time activity: playing computer games, listening to music, or watching movies/TV .

It relative frequency table first row represents the name of activities and first column represents the gender.

From the given data we can say that,

Females—playing computer games = 4

Females—music = 20

Females— watching movies/TV = 16

Total number of females is

`4+20+16=40`

Males—playing computer games = 15

Males—music = 12

Males— watching movies/TV = 13

Total number of males is

`15+12+13=40`

Total number of males and females who like computer games is

`4+15=19`

Total number of males and females who like music is

`20+12=32`

Total number of males and females who like watching movies/TV is

`16+13=29`

Therefore the required two-way frequency table for the data is attached below.