Report

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 already collected and create a two-way table