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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
Foreign language
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
14No foreign language 10
Not Play a Sport
23
?50 students
Another way to organize: A two-way table
Play a sport
Foreign language
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
14No foreign language 10
Not Play a Sport
23
3
Now can you fill in totals for each row and column
Another way to organize: A two-way table
Play a sport
Total
Foreign language
Total
http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf
14No foreign language 10
Not Play a Sport
23
3
24 26 50
13
37
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 No Cell Total
Computer
No Computer
Total
Cell Phone vs. Computer
Has a Cell No Cell Total
Computer 61 11
No Computer 9
Total 82
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 chartHas 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 chartHas 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 chartHas 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 PB & J Total
9th
10th
Total
Chicken vs. PB & J
Chicken PB & J Total
9th 20 30
10th
Total 60 100
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 already collected and
create a two-way table
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