Two-way Tables - Liberty High School

```Two-way Tables
A Kern High School District Task
Data from a survey of 50 students are shown in the Venn diagram
The students were asked whether or not they were taking a foreign
language and whether or not they played a sport.
1. How many students are
taking a foreign language?
2. How many students play a
sport?
3. How many students do
both?
4. How many students play a
sport but do not take a
foreign language?
5. How many students do not
play a sport and do not
take a foreign language?
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
Is there another way to
organize the data?
Two-way table is a tool
for representing
relationships between
categorical variables.
Another way to organize:
A two-way table
Play a
sport
Not Play a
Sport
Foreign
language
14
23
No foreign
language
10
?
50 students
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
Another way to organize:
A two-way table
Play a
sport
Not Play a
Sport
Foreign
language
14
23
No foreign
language
10
3
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
Now can you fill in totals
for each row and column
Another way to organize:
A two-way table
Play a
sport
Not Play a
Sport
Total
Foreign
language
14
23
37
No foreign
language
10
3
13
Total
24
26
50
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
Matt surveyed students at his
school. He found that 82 students
have a cell phone and 61 of those
have a home computer. There are
11 students that do not own a cell
phone, but own a home computer.
Nine students don’t own either
device.
Create a two-way table
representing the above data.
Cell Phone vs. Computer
Has a Cell
Computer
No
Computer
Total
No Cell
Total
Cell Phone vs. Computer
Computer
Has a Cell
No Cell
61
11
No
Computer
Total
9
82
Total
Cell Phone vs. Computer
Has a Cell
No Cell
Total
Computer
61
11
72
No
Computer
21
9
30
Total
82
20
102
Understanding the chart
Has a
Cell
No Cell
Total
Computer
61
11
72
No
Computer
21
9
30
Total
82
20
102
How many people were surveyed?
Understanding the chart
Has a
Cell
No Cell
Total
Computer
61
11
72
No
Computer
21
9
30
Total
82
20
102
How many people have a computer?
Understanding the chart
Has a
Cell
No Cell
Total
Computer
61
11
72
No
Computer
21
9
30
Total
82
20
102
How many people don’t have a cell
phone?
You observed student eating habits of
one hundred 9th and 10th grade students
in the school cafeteria. You collected
their grade and if they purchased a
chicken sandwich or a peanut butter and
jelly sandwich. Out of the thirty 9th
graders, 20 purchased chicken sandwich.
There were 60 students that purchased
chicken sandwiches.
Create a two-way table representing
the above data.
Chicken vs. PB & J
Chicken
9th
10th
Total
PB & J
Total
Chicken vs. PB & J
Chicken
9th
PB & J
Total
20
30
60
100
10th
Total
Chicken vs. PB & J
Chicken
PB & J
Total
9th
20
10
30
10th
40
30
70
Total
60
40
100
Understanding the Chart
Chicken
PB & J
Total
9th
20
10
30
10th
40
30
70
Total
60
40
100
How many 10th graders were
surveyed?
Understanding the Chart
Chicken
PB & J
Total
9th
20
10
30
10th
40
30
70
Total
60
40
100
How many 10th graders ordered
PB & J?
How did everyone get to
school today?
Take the data you