Two Way Tables & Relative Frequency Tables

What is relative frequency?

• The total number of events in a sample.

• The ratio of the frequency of a particular event to the total number of events, often expressed as a percentage.

• The number of times an event occurs in a single trial.

• The average outcome of multiple trials.

What is a two-way table?

• A table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

• A table that shows the relationship between two numerical variables.

• A table used to display the results of a single categorical variable.

• A table that summarizes data from multiple sources.

Why is it important to understand relative frequency in data analysis?

• It helps in identifying outliers in the data.

• It provides context to the data, allowing for better comparisons and insights into the distribution of categories.

• It simplifies the data by reducing the number of categories.

• It ensures that all data points are treated equally.

How can you determine the most popular category in a two-way table?

• By randomly selecting a category

• By comparing the frequencies of each category and identifying the one with the highest frequency

• By counting the total number of categories

• By asking participants for their opinions

What does it mean if a two-way table shows a high relative frequency for a category?

• A high relative frequency indicates that a large proportion of the total observations fall into that category, suggesting it is a common outcome.

• A high relative frequency means that the category is rare and not commonly observed.

• A high relative frequency suggests that the data is skewed and not reliable.

• A high relative frequency indicates that the category has been over-represented in the sample.

How do you interpret the data in a two-way table?

• Look for patterns and compare frequencies to analyze relationships between the two variables.

• Only focus on the total counts without considering individual categories.

• Ignore the data and rely on assumptions about the variables.

• Use only graphical representations to interpret the data.

What is the formula for calculating the percentage from relative frequency?

• Percentage = (Relative Frequency) x 100.

• Percentage = (Relative Frequency) / 100.

• Percentage = (Relative Frequency) + 100.

• Percentage = (Relative Frequency) - 100.

What is the difference between absolute frequency and relative frequency?

• Absolute frequency is the count of occurrences of a category, while relative frequency is the proportion of that count compared to the total.

• Absolute frequency refers to the total number of categories, while relative frequency is the average of those categories.

• Absolute frequency is the percentage of occurrences, while relative frequency is the total count of occurrences.

• Absolute frequency is the difference between two categories, while relative frequency is the sum of all categories.

If 80 out of 400 students prefer football, what is the relative frequency of students who prefer football?

• 0.1 or 10%

• 0.2 or 20%

• 0.25 or 25%

• 0.5 or 50%

How do you calculate relative frequency from a two-way table?

• Divide the frequency of the specific category by the total frequency of all categories.

• Multiply the frequency of the specific category by the total frequency of all categories.

• Add the frequency of the specific category to the total frequency of all categories.

• Subtract the frequency of the specific category from the total frequency of all categories.