Two-way Tables and Relative Frequency

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the comparison of the relationship between them.

Front

What does frequency mean in the context of two-way tables?

Back

Frequency refers to the number of times a particular value or category occurs in a dataset.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated by dividing the frequency of a specific category by the total number of observations.

Front

What is the purpose of using two-way tables?

Back

Two-way tables help organize data to analyze the relationship between two categorical variables and to identify patterns or trends.

Front

What information can you find in the margins of a two-way table?

Back

The margins of a two-way table typically show the totals for each row and column, which can help in calculating overall frequencies and relative frequencies.

Front

If a two-way table shows that 30 out of 100 surveyed people prefer cats, what is the relative frequency of cat preference?

Back

The relative frequency of cat preference is 0.30 or 30%.

Front

What does it mean if two variables are independent in a two-way table?

Back

If two variables are independent, the occurrence of one variable does not affect the occurrence of the other variable.

Front

How can you determine if there is a relationship between two categorical variables using a two-way table?

Back

You can determine a relationship by comparing the frequencies and relative frequencies across the categories to see if they vary together.

Front

What is the total frequency in a two-way table?

Back

The total frequency is the sum of all frequencies in the table, representing the total number of observations.

Front

What does a cell in a two-way table represent?

Back

A cell in a two-way table represents the frequency count for a specific combination of the two categorical variables.