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.

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Presentation transcript:

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?

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 14 No foreign language 10 Not Play a Sport 23 ? 50 students

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

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 CellNo CellTotal Computer No Computer Total

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

Cell Phone vs. Computer Has a CellNo CellTotal Computer No Computer Total

Understanding the chart Has a Cell No CellTotal Computer No Computer Total How many people were surveyed?

Understanding the chart Has a Cell No CellTotal Computer No Computer Total How many people have a computer?

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

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.

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

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

Chicken vs. PB & J ChickenPB & JTotal 9 th th Total

Understanding the Chart ChickenPB & JTotal 9 th th Total How many 10 th graders were surveyed?

Understanding the Chart ChickenPB & JTotal 9 th th Total How many 10 th graders ordered PB & J?

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