Two-Way Frequency Tables Quiz

Given the following data, create a two-way frequency table for students who like apples and bananas: - 10 students like both apples and bananas - 5 students like only apples - 8 students like only bananas - 7 students do not like either How many students were surveyed in total?

• 20

• 25

• 30

• 35

What is the marginal frequency of students who like apples, given the following two-way frequency table? | Preference | Apples | Bananas | Total | |------------|--------|---------|-------| | Like | 12 | 15 | 27 | | Dislike | 8 | 5 | 13 | | Total | 20 | 20 | 40 |

• 12

• 20

• 27

• 40

In a survey of 50 people about their preference for two TV shows, 20 people liked both shows, 15 liked only the first show, and 5 liked only the second show. How many people did not like either show?

• 5

• 10

• 15

• 20

Given the following two-way frequency table, what is the marginal frequency of people who dislike bananas? | Preference | Apples | Bananas | Total | |------------|--------|---------|-------| | Like | 18 | 22 | 40 | | Dislike | 12 | 8 | 20 | | Total | 30 | 30 | 60 |

• 8

• 12

• 20

• 30

If a two-way frequency table includes the categories "Owns a Pet" and "Likes to Read" with a total of 100 respondents, and 40 respondents like to read but do not own a pet, what is the marginal frequency of respondents who do not own a pet?

• Cannot be determined from the given information

• 40

• 60

• 100

Identify the association between two variables in a two-way frequency table if 90% of people who like chocolate also like ice cream, but only 10% of people who do not like chocolate like ice cream.

• Positive association

• Negative association

• No association

• Cannot be determined

How do you calculate the marginal frequency in a two-way frequency table?

• Add up the values in a row or column

• Multiply the values in a row or column

• Divide the total by the number of categories

• Subtract the smallest value in the table from the largest

Given a two-way frequency table showing the number of students who passed or failed a test in two different classes, if 15 students passed in Class A and 10 students passed in Class B, what is the marginal frequency of students who passed?

• 15

• 10

• 25

• Cannot be determined without knowing the number of students who failed

In a two-way frequency table that categorizes people by age group and whether they prefer tea or coffee, if the marginal frequency of people preferring tea is 70 and the total number of respondents is 150, what is the marginal frequency of people preferring coffee?

• 70

• 80

• 150

• Cannot be determined from the given information

What does it mean if there is a strong association between two variables in a two-way frequency table?

• The variables are unrelated

• One variable causes changes in the other

• There is a noticeable pattern in how the categories of one variable relate to the categories of the other

• The variables must be numerical