7.1c (apply)—Analyze Frequency Tables (Joint, Marginal, and Conditional)
1. Copy and complete the two-way table for Hollywood Junior High’s eating habits.
Eat Breakfast regularly
Do not Eat Breakfast
regularly
Totals
Male
190
Female
110
Totals
300
130
320
165
275
295
595
How many females “eat breakfast regularly”? (a joint frequency)
How many females were included in the survey? (a marginal frequency)
How many females eat breakfast out of the total number of females? (a conditional relative frequency)
How many people were included in this survey? (this is a marginal frequency)
How many males “do not eat breakfast regularly”? (this is a joint frequency)
How many males and females do not eat breakfast regularly? (this is a marginal frequency)
How many males do not eat breakfast out of the total number of people who do not eat breakfast?
(a conditional relative frequency)
h) Do more females eat breakfast or do more males eat breakfast? (a comparison of joint frequencies)
i) Which group of people eat breakfast more regularly?
j) Which group of people does not eat breakfast regularly?
a)
b)
c)
d)
e)
f)
g)
2. Below is a table showing men’s and women’s preferences of activities.
a) Looking at just the total columns (marginal frequencies),
what can we conclude about the activities?
a. Dance is more interesting.
b. They have roughly equal appeal.
c. Sports is the least chosen activity.
d. TV is the preferred activity.
b) Looking at the joint frequencies, we see that women
show a strong preference for which activity?
c) Looking at the joint frequencies, we see that men show
a strong preference for which activity?
Dance
Sports
TV
TOTAL
Men
2
10
8
20
Women
16
6
8
30
TOTAL
18
16
16
50
3. Below is a table for Jersey High’s transportation survey results.
Walk
Car
Bus
Cycle
Totals
a)
b)
c)
d)
Male
34
28
15
52
129
Female
46
17
12
17
92
Totals
80
45
27
69
221
Identify one joint frequency from this table and describe its meaning.
Identify one marginal frequency from this table and describe its meaning.
Identify one conditional relative frequency from this table and describe its meaning.
Write two conclusions that you can make from this frequency table.
Sec Math 1 In-Sync by Jordan School District, Utah is licensed under a
Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License
283