Unit 10 Lesson 4 – Two-Way Frequency Tables
1.) A group of male and female students were surveyed to see if they like to sleep in or get up
early. Of the 100 people that like to sleep in, 60 are males. Of the 30 people who like to get up
early, 20 are females.
a.) Create a two-way table.
Sleep In
Get Up Early
Total
Males
60
10
70
Females
40
20
60
Total
100
30
130
Sleep In
Get Up Early
Total
Males
46%
8%
54%
Females
31%
15%
46%
Total
77%
23%
100%
b.) Create a relative frequency table.
2.) A group of male and female students were surveyed to see which flavor of ice cream they
preferred. Of the 40 people who prefer chocolate ice cream, 25 are males. Of the 70 people who
prefer vanilla ice cream, 40 are females.
a.) Create a two-way table.
Chocolate
Vanilla
Total
Males
25
30
55
Females
15
40
55
Total
40
70
110
Chocolate
Vanilla
Total
Males
23%
27%
50%
Females
14%
36%
50%
Total
36%
64%
100%
b.) Create a relative frequency table.
A group of male and female students were surveyed to see what their favorite sport is. 300 total
students were surveyed. Of the 140 males surveyed, 40 males preferred basketball. Of the 160
females surveyed, 80 females preferred soccer and 20 females preferred football. 100 kids
preferred basketball, 110 kids preferred soccer and 90 kids preferred football.
a.) Create a two-way table.
Basketball
Soccer
Football
Total
Males
40
30
70
140
Females
60
80
20
160
Total
100
110
90
300
Basketball
Soccer
Football
Total
Males
13%
10%
23%
47%
Females
20%
27%
7%
53%
Total
33%
37%
30%
100%
b.) Create a relative frequency table.
A group of male and female students were surveyed to see what their favorite math topic is. Of
the 120 students who like algebra, 55 students are male. Of the 50 students who prefer geometry,
25 are female. Of the 30 students who prefer statistics, 10 are females.
a.) Create a two-way table.
Algebra
Geometry
Statistics
Total
Males
55
25
20
100
Females
65
25
10
100
Total
120
50
30
200
Algebra
Geometry
Statistics
Total
Males
28%
13%
10%
50%
Females
33%
13%
5%
50%
Total
60%
25%
15%
100%
b.) Create a relative frequency table.