Two-Way Frequency Tables
Name: _________________________Date: _______________ The table shows the number of students participating in each sport listed. Use the table to answer the following questions. Grade Soccer Wrestling Football Total 9th 23 7 23 53 10th 10 13 25 48 11th 8 12 22 42 12th 7 8 25 40 Total 48 40 95 183 1.) The relative frequency of all students that are soccer players is 0.26. Is this an example of a joint frequency or a marginal frequency from the table? 2.) The proportion of all students that are 10th graders and are on the wrestling team is 0.07. Is this an example of a joint frequency or a marginal frequency from the table? 3) What is the relative frequency of all students that are 10th graders (give in decimals)?
4.) What is the relative frequency of 9th graders that are on the Wrestling team (give in decimals)? The table below shows the results from when 150 people were asked whether or not they had a Smartphone or I‐pod. Finish filling in the table of values in the two‐way frequency table in order to answer questions 5-6. I‐pod No I‐pod Total Smart Phone 106
No Smart Phone
Total 117 4
135
150 5.) What is the relative frequency of people that have an I‐pod and a smart phone? 6.) What is the relative frequency of people that do NOT have an I‐pod? 7.) Using the Two‐Way Frequency Table above, finish filling in the rest of the Relative Frequencies into the table below: I‐pod Smartphone
No Smartphone 0.193
Total 0.9
No I‐pod Total 0.073 0.78 0.22 8. The table shows the results of a customer satisfaction survey of 100 randomly
selected shoppers at the mall who were asked if they would shop at an earlier time
if the mall opened earlier. Make a table of joint and marginal relative frequencies.
Ages 10-20
Ages 21-45
Ages 46-65
65 and Older
Yes
13
2
8
24
No
25
10
15
3
Ages 10-20
Ages 21-45
Ages 46-65
65 and Older
Total
Yes
No
Total
9. Jerrod collected data on 100 randomly selected students, and summarized the results in a
table.
Owns an MP3 Player
Owns a Smart Phone
Yes
No
Yes
28
12
No
34
26
a. Make a table of the joint relative frequencies and marginal relative frequencies.
Round to the nearest hundredth where appropriate.
Owns an MP3 Player
Yes
Yes
Owns a Smart Phone
No
Total
No
Total
10. Jessica surveys students at her school about their favorite food.
She recorded the responses in the table below.
Food
Gender
Males
Females
Pizza
Chicken
Steak
French Fries
14
10
6
7
12
13
4
8
Totals
Totals
A. What is the joint frequency of female students who prefer Pizza?
B. What is the joint frequency of male students who prefer Steak?
C. What is the marginal frequency for each type of food?
D. What is the marginal frequency for each gender?
11. Billy surveys 9th graders and 10th graders which Ice Cream
Flavor they preferred. The results are in the table below.
Flavor
Grade
9th graders
Vanilla
Chocolate
Strawberry
7
12
5
Mint
Chocolate
15
10th graders
5
11
8
13
Total
Totals
A. What is the joint frequency of 9th graders who prefer Chocolate?
B. What is the joint frequency of 10th graders who prefer Mint Chocolate?
C. What is the marginal frequency of each Ice Cream Flavor?
D. What is the marginal frequency of each grade?