Reading Two Way Relative Frequency Tables
Students were surveyed about their preference between dogs and cats. The following two-way table
displays data for the sample of students who responded to the survey.
1. Approximately what percent of students in the sample prefer cats? (Round your answer to
the nearest percent.)
_____________%
2. Approximately what percent of females in the sample prefer cats? (Round your answer to the
nearest percent.)
_____________%
Preference
Male
Female
Total
Prefers Dogs
36
20
56
Prefers Cats
10
26
36
No Preference
2
6
8
Total
48
52
100
Researchers once surveyed college students on their Facebook use. The following two-way table
displays data for the sample of students who responded to the survey.
3. Approximately what percent of students in the sample were in the 18 to 22 age category?
(Round your answer to the nearest percent.)
___________%
Age
Uses Facebook
Does Not Use
Facebook
Total
18 to 22
78
4
82
23+
70
67
137
Total
148
71
219
A university surveyed its students on their opinions of campus housing. The following two-way table
displays data for the sample of 200 students who responded to the survey.
4. What percent of males had a negative opinion of campus housing? (Round your answer to
the nearest percent.)
___________%
Gender
Positive Opinion
Negative Opinion
Neutral Opinion
Total
Male
40
36
14
90
Female
42
56
12
110
Total
82
92
26
200
Interpreting Two Way Tables
A sociologist polled a random collection of people and asked them their age and annual income. The
two-way frequency table below shows the results.
5. Of those polled, are people age 44 and under more likely to earn at least $50,000 than
people age 45 and up? Explain how you know.
Less than $50,000
At Least $50,000
Ages 44 and under
148
68
Ages 45 and above
38
94
The two-way table of row relative frequencies below shows data on age and risk of obesity for all
basketball players in Salta, Argentina.
Not at risk for obesity
At risk of obesity
Row Total
Age 18 to 24
0.57
0.43
1.00
Age 25 to 44
0.56
0.44
1.00
6. In Salta, are basketball players who are age 18 to 24 at a greater risk of obesity than
basketball players who are age 25 to 44? Explain how you know.
The following two-way table of row relative frequencies shows data on age and risk of obesity
for all basketball players in Denver, Colorado. There are 250 basketball players in Denver who
are age 25 to 44.
Not at risk for
obesity
At risk for obesity
Row Total
Ages 18 to 24
0.57
0.43
1.00
Ages 25 to 44
0.38
0.62
1.00
7. How many basketball players in Denver are age 25 to 44 and at risk of obesity?
A. 95
B. 105
C. 155
D. Not enough information
A random sample of adults were asked the question "How much do you personally worry
about global warming?" The two-way table of column relative frequencies below shows the
responses of adults in the age groups 18 to 29 and 50 to 64. The poll included 350 adults age
18 to 29.
Age 18 to 29
Age 50 to 64
A Great Deal
0.38
0.32
Fair Amount
0.32
0.18
Only a little/Not at all
0.30
0.50
Column Total
1.00
1.00
8. How many total adults in the age groups shown answered "A great deal"?
A. 133
B. 43
C. 70
D. Not enough information