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

2. 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

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 http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf 14 No foreign language 10 Not Play a Sport 23 ? 50 students

6. 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 14 No foreign language 10 Not Play a Sport 23 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 Total http://www.glencoe.com/sites/pdfs/impact_math/ls3_c3_two_way_tables.pdf 14 No foreign language 10 Not Play a Sport 23 3 24 26 50 13 37

9. 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 CellNo CellTotal Computer No Computer Total

11. Cell Phone vs. Computer Has a CellNo CellTotal Computer 6111 No Computer 9 Total 82

12. Cell Phone vs. Computer Has a CellNo CellTotal Computer 611172 No Computer 21930 Total 8220102

13. Understanding the chart Has a Cell No CellTotal Computer 611172 No Computer 21930 Total 8220102 How many people were surveyed?

14. Understanding the chart Has a Cell No CellTotal Computer 611172 No Computer 21930 Total 8220102 How many people have a computer?

15. Understanding the chart Has a Cell No CellTotal Computer 611172 No Computer 21930 Total 8220102 How many people don’t have a cell phone?

16. You observed student eating habits of one hundred 9 th and 10 th 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 9 th 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 ChickenPB & JTotal 9 th 10 th Total

18. Chicken vs. PB & J ChickenPB & JTotal 9 th 2030 10 th Total 60100

19. Chicken vs. PB & J ChickenPB & JTotal 9 th 201030 10 th 403070 Total 6040100

20. Understanding the Chart ChickenPB & JTotal 9 th 201030 10 th 403070 Total 6040100 How many 10 th graders were surveyed?

21. Understanding the Chart ChickenPB & JTotal 9 th 201030 10 th 403070 Total 6040100 How many 10 th graders ordered PB & J?

22. How did everyone get to school today? Take the data you already collected and create a two-way table