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.

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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.

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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.

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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.

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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.

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

Back

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

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

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

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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.

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.

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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.