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 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 = (Frequency of the event) / (Total frequency) x 100%.

Front

What does it mean if a relative frequency is 29% for boys who cannot bike to school?

Back

It means that 29% of the total number of students who cannot bike to school are boys.

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

Back

The total row and column provide the overall counts for each category, which are essential for calculating relative frequencies.

Front

How can you interpret the data from a two-way table?

Back

You can interpret the data by examining the frequencies and relative frequencies to understand the relationship between the two variables.

Front

What is the formula to find the percentage of a subgroup in a two-way table?

Back

Percentage of subgroup = (Frequency of subgroup / Total frequency) x 100%.

Front

If 30% of girls have blonde hair, what does this indicate?

Back

This indicates that out of all the girls surveyed, 30% have blonde hair, showing a specific characteristic within that subgroup.

Front

What does it mean if 25% of mechanical engineers prefer math?

Back

It means that out of all the mechanical engineers surveyed, 25% indicated a preference for math over science.