Two-Way Tables & 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 analysis of the relationship between them.

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations, often expressed as a percentage.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated by dividing the frequency of a specific category by the total frequency of all categories, then multiplying by 100 to get a percentage.

Front

What does a relative frequency table show?

Back

A relative frequency table shows the proportion of each category relative to the total, helping to understand the distribution of data.

Front

If 30 out of 100 surveyed like math, what is the relative frequency of those who like math?

Back

30%.

Front

What is the purpose of using two-way tables in statistics?

Back

Two-way tables help to summarize and analyze the relationship between two categorical variables, making it easier to identify patterns and trends.

Front

What is the total percentage of all categories in a relative frequency table?

Back

The total percentage of all categories in a relative frequency table should equal 100%.

Front

How can you find the percentage of a subgroup in a two-way table?

Back

To find the percentage of a subgroup, divide the frequency of that subgroup by the total frequency and multiply by 100.

Front

What is the significance of the total row and column in a two-way table?

Back

The total row and column in a two-way table provide the overall counts for each category, which are essential for calculating relative frequencies.

Front

If 45% of students play an instrument and 27.2% of those do not play a team sport, what is the relative frequency of students who play an instrument and do not play a team sport?

Back

12.24% (calculated as 45% * 27.2%).