TwoWay Tables TwoWay Tables Main Idea and New

Two-Way Tables

Two-Way Tables Main Idea and New Vocabulary Example 1: Construct a Two-Way Table Example 2: Relative Frequencies in a Two-Way Table Example 3: Relative Frequencies in a Two-Way Table

Two-Way Tables • Construct and interpret two-way tables. • • two-way table relative frequency

Two-Way Tables Construct a Two-Way Table WATER PARK The eighth grade class went to a water park at the end of the year. Out of the 65 students who went to the park, 17 swam only in the wave pool. There were a total of 46 students who rode down the water slide and 16 of those also swam in the wave pool. Construct a twoway table summarizing the data. Step 1 Create a table using the two categories: wave pool and water slide. Wave Pool Water Slide No Water Slide Total No Wave Pool Total

Two-Way Tables Construct a Two-Way Table Step 2 Use the values given to fill in the table. Wave Pool Water Slide 16 No Water Slide 17 No Wave Pool Total 46 Total 65 Step 3 Use reasoning to complete the table. The totals are for each row and column. Wave Pool No Wave Pool Total Water Slide 16 30 46 No Water Slide 17 19 Total 33 2 32 65

Two-Way Tables ACTIVITIES Megan surveyed students to find which school activities they attended. The results are shown. Which statement is true? Attended Play Did Not Attend Play Attended Basketball Game 55 63 Did Not Attend Basketball Game 88 15 A. Sixty-three students did not attend either activity. B. Of the students that attended the basketball game, more than half of them did not attend the play. C. Megan surveyed 200 students. D. A total of 118 students attended the play.

Two-Way Tables Relative Frequencies in a Two-Way Table ENTERTAINMENT People at a movie theater were surveyed about whether they bought popcorn or soda. What is the relative frequency of people that bought both to all people that bought soda? Round to the nearest hundredth if necessary. To find the relative frequencies by row, write the ratios of each value to the total in that row. Round to the nearest hundredth if necessary.

Two-Way Tables Relative Frequencies in a Two-Way Table Frequency by Row Popcorn No Popcorn Total Soda No Soda Total Answer: The relative frequency of people that bought both popcorn and soda to all people that bought soda is 0. 6.

Two-Way Tables PETS A pet store conducted a survey on the types of pets owned by the store’s customers. The results are shown in the two-way table. Cat No Cat Total Dog 45 125 170 No Dog 78 52 130 Total 123 177 300 What is the relative frequency of customers that own both a cat and a dog to the total number of customers that own a dog? A. about 0. 26 C. about 0. 63 B. about 0. 37 D. about 0. 74

Two-Way Tables Relative Frequencies in a Two-Way Table ENTERTAINMENT People at a movie theater were surveyed about whether they bought popcorn or soda. What is the relative frequency of people that did not buy either item to all people that did not buy popcorn? Round to the nearest hundredth if necessary. When creating a two-way table with relative frequencies by column, use the total of the columns when writing the ratios.

Two-Way Tables Relative Frequencies in a Two-Way Table Frequency by Column Popcorn No Popcorn Total Soda No Soda Total Answer: The relative frequency of people that did not buy either item to all people that did not buy popcorn is 0. 41.

Two-Way Tables PETS A pet store conducted a survey on the types of pets owned by the store’s customers. The results are shown in the two-way table. Cat No Cat Total Dog 45 125 170 No Dog 78 52 130 Total 123 177 300 What is the relative frequency of customers that neither own a cat nor a dog to the total number of customers that do not own a cat? A. about 0. 71 C. about 0. 37 B. about 0. 63 D. about 0. 29

Two-Way Tables