Lesson Menu Main Ide a and New Vocabulary Example 1 Construct a TwoWay Table Example 2 Relative Frequencies in a TwoWay Table Example 3 Relative Frequencies in a TwoWay Table ID: 611114
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Slide1
Two-Way TablesSlide2
Lesson Menu
Main
Ide
a 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 TableSlide3
Main Idea/Vocabulary
Construct and interpret two-way tables.
two-way table
relative frequencySlide4
Example 1
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 two-way table summarizing the data.
Step 1
Create a table using the two categories: wave pool and water slide.
Construct a Two-Way Table
Wave Pool
No Wave Pool
Total
Water
Slide
No Water Slide
TotalSlide5
Example 1
Step
2
Use the values given to fill in the table.
Construct a Two-Way Table
Wave Pool
No Wave Pool
Total
Water
Slide
No Water Slide
Total
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
46
No Water Slide
17
Total
65
16
17
46
65
33
30
2
32
19Slide6
Example 1 CYP
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.
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
15Slide7
Example 2
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.
Relative Frequencies in a Two-Way TableSlide8
Example 2
Answer:
The
relative frequency of people that bought both popcorn and soda to all people that bought soda is 0.6.
Relative Frequencies in a Two-Way Table
Frequency
by Row
Popcorn
No
Popcorn
Total
Soda
No Soda
TotalSlide9
A.
about 0.26
C
.
about 0.63
B
.
about 0.37 D. about 0.74Example 2 CYP
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
177300
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?Slide10
Example 3
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.
Relative Frequencies in a Two-Way TableSlide11
Example 3
Answer:
The
relative frequency of people that did not buy either item to all people that did not buy popcorn is 0.41.
Relative Frequencies in a Two-Way Table
Frequency
by Column
Popcorn
No
Popcorn
Total
Soda
No Soda
TotalSlide12
A.
about 0.71
C
.
about 0.37
B
.
about 0.63 D. about 0.29Example 3 CYP
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
177300
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?Slide13
Two-Way Tables