2 Way Frequency Tables

Front

What is a two-way frequency table?

Back

A two-way frequency table is a statistical tool that displays the frequency of different outcomes in two categorical variables, allowing for the analysis of the relationship between them.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated by dividing the frequency of a specific outcome by the total number of observations, often expressed as a percentage.

Front

What does it mean if a relative frequency is 15%?

Back

It means that 15 out of every 100 observations fall into that specific category or outcome.

Front

What is the purpose of a two-way frequency table?

Back

The purpose is to summarize data and show the relationship between two categorical variables, making it easier to analyze patterns and trends.

Front

How can you find the total frequency in a two-way table?

Back

To find the total frequency, sum all the frequencies in the table.

Front

What is the significance of the marginal totals in a two-way frequency table?

Back

Marginal totals are the sums of the rows and columns, providing the total counts for each category, which helps in understanding the overall distribution.

Front

If 10 out of 200 people purchased no food, what is the relative frequency?

Back

The relative frequency is 5% (10/200 * 100).

Front

What does it indicate if a person who plays an instrument is most likely to play a team sport?

Back

It suggests a correlation between playing an instrument and participating in team sports, indicating that these activities may be related.

Front

How do you interpret a relative frequency of about 27% for students ages 14-17 who skip breakfast?

Back

It indicates that approximately 27 out of every 100 students in that age group skip breakfast.

Front

What is the formula for calculating the percentage of a subgroup in a two-way table?

Back

Percentage = (Frequency of the subgroup / Total frequency) * 100.