Two-Way Tables

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.

Tags

CCSS.8.SP.A.4

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.

Tags

CCSS.8.SP.A.4

Front

What is conditional relative frequency?

Back

Conditional relative frequency is the relative frequency of a category given a specific condition or subset of the data.

Tags

CCSS.8.SP.A.4

Front

How do you find the percentage of a specific group in a two-way table?

Back

To find the percentage, divide the number of individuals in the specific group by the total number of individuals and multiply by 100.

Tags

CCSS.8.SP.A.4

Front

What does it mean if a two-way table shows a higher frequency for one category?

Back

It indicates that there is a greater occurrence of that category compared to others, suggesting a potential relationship or trend.

Tags

CCSS.8.SP.A.4

Front

What is the formula for probability in a two-way table?

Back

Probability = (Number of favorable outcomes) / (Total number of outcomes).

Tags

CCSS.8.SP.A.4

Front

How can you determine if two variables are independent using a two-way table?

Back

Two variables are independent if the conditional relative frequencies are the same across the categories of one variable.

Tags

CCSS.8.SP.A.4

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 and probabilities.

Tags

CCSS.8.SP.A.4

Front

How do you interpret a conditional relative frequency of 29% for boys who cannot bike to school?

Back

It means that 29% of the boys surveyed fall into the category of those who cannot bike to school.

Tags

CCSS.8.SP.A.4

Front

What does it mean if a person is most likely to play a team sport according to a two-way table?

Back

It suggests that among the surveyed individuals, the majority who play an instrument also tend to play a team sport.

Tags

CCSS.8.SP.A.4