Question

Construct a two-way frequency table for the data. Include row and column totals. Hint: Let column categories be labeled by after school activity.

Every student at Georgia Southern Middle School participates in exactly one after school activity. The school activities coordinator recorded data on after extracurricular activity and gender for all 254 seventh-grade students at the school.

The counselor’s findings for the 254 seventh-grade students are the following:

Of the 80 students enrolled in music, 42 are male.

Of the 21 students enrolled in student government, 9 are female.

Of the 65 students enrolled in theatre, 20 are male.

Of the 88 students enrolled in sports, 30 are female.

Answer 1

Male Female
Music 42 38
Student gov 12 9
Theatre 20 45
Sport 58 30

Answer 2

Explanation:

We have to construct a two way frequency table for the data.

Every student at Georgia Southern Middle School participate in exactly one after school activity.

1. Out of 80 students enrolled in music, 42 are male.

So female students enrolled i music = 80 - 42 = 38

2. Out of 21 students enrolled in student government, 8 are female.

So number of male students = 21 - 9 = 12

3. Out of 65 students enrolled in theater, 20 are male.

So number of female students = 65 - 20 = 45

4. Out of 88 students enrolled in sports, 30 are female.

So the number of male students = 88 - 30 = 58

Now we will form the frequency table

Activity Male Female Total

Music 42 38 80

Student government 12 9 21

Theater 20 45 65

Sports 58 30 88

Total 132 122 254