Displaying Two-Categorical Variables Part 1

What is a contingency table used for?

• Displaying data for one variable

• Showing the relationship between two categorical variables

• Summarizing numerical data

• Creating graphs

In a contingency table, what does joint frequency refer to?

• The total count of observations

• The frequency of a specific combination of two variables

• The frequency of a single variable

• The average of two variables

How is marginal frequency calculated?

• By summing the conditional frequencies

• By averaging the joint frequencies

• By summing the joint frequencies for one variable

• By dividing joint frequencies by total frequency

What is the marginal relative frequency?

• The marginal frequency expressed as a percentage of the total

• The joint frequency of two categories

• The frequency of a single variable

• The difference between two frequencies

Which of the following is a conditional distribution?

• The overall distribution of one variable

• The distribution of one variable within specific categories of another variable

• The total count of all observations

• A single joint frequency

To find the conditional relative frequency, you divide:

• Joint frequency by marginal frequency of the other variable

• Marginal frequency by total frequency

• Joint frequency by total frequency

• Marginal frequency by joint frequency

If a contingency table shows that 10 out of 50 respondents are Male and prefer Sports, what is the joint relative frequency for Male-Sports?

• 0.20

• 0.10

• 0.50

• 0.30

In a contingency table, if the marginal frequency for Females is 30 out of 100, what is the marginal relative frequency?

• 0.70

• 0.30

• 0.50

• 0.40

What is the purpose of calculating conditional relative frequencies?

• To compare overall frequencies

• To analyze the distribution of one variable given the other

• To find the total number of observations

• To summarize data for one variable

If a contingency table shows that 60% of Males prefer Sports, what is the conditional relative frequency for Males who prefer Sports?

• 0.60

• 0.40

• 0.20

• 0.80