1. A Kern High School District Task
Two-way Tables
A Kern High School District Task

2. How many students are taking a foreign language?
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.
How many students are taking a foreign language?
How many students play a sport?
How many students do both?
How many students play a sport but do not take a foreign language?
How many students do not play a sport and do not take a foreign language?

3. Is there another way to organize the data?

4. Two-way table is a tool for representing relationships between categorical variables.

5. Another way to organize: A two-way table
Play a sport
Foreign language
Not Play a Sport 14 23
50 students
No foreign language 10 ?

6. Another way to organize: A two-way table
Play a sport
Foreign language
Not Play a Sport 14 23
No foreign language 10 3

7. Now can you fill in totals for each row and column

8. Another way to organize: A two-way table
Play a sport
Total
Foreign language
Not Play a Sport 14 23 37
50 students
No foreign language 10 3 13 24 26 50

9. Create a two-way table representing the above data.
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.

10. Cell Phone vs. Computer
Has a Cell
No Cell
Total
Computer
No Computer

11. Cell Phone vs. Computer Has a Cell No Cell Total Computer 61 11
No Computer 9 82

12. Cell Phone vs. Computer Has a Cell No Cell Total Computer 61 11 72
No Computer 21 9 30 82 20
102

13. Understanding the chart
Has a Cell
No Cell
Total
Computer 61 11 72
No Computer 21 9 30 82 20
102
How many people were surveyed?

14. Understanding the chart
Has a Cell
No Cell
Total
Computer 61 11 72
No Computer 21 9 30 82 20
102
How many people have a computer?

15. Understanding the chart
Has a Cell
No Cell
Total
Computer 61 11 72
No Computer 21 9 30 82 20
102
How many people don’t have a cell phone?

16. Create a two-way table representing the above data.
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.

17. Chicken vs. PB & J
Chicken
PB & J
Total
9th
10th

18. Chicken vs. PB & J
Chicken
PB & J
Total
9th 20 30
10th 60
100

19. Chicken vs. PB & J
Chicken
PB & J
Total
9th 20 10 30
10th 40 70 60
100

20. Understanding the Chart
Chicken
PB & J
Total
9th 20 10 30
10th 40 70 60
100
How many 10th graders were surveyed?

21. Understanding the Chart
Chicken
PB & J
Total
9th 20 10 30
10th 40 70 60
100
How many 10th graders ordered PB & J?

22. How did everyone get to school today?
Take the data you already collected and create a two-way table comparing their grade level to the method used to get to school