Two Way Tables with Relative Frequency

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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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What is relative frequency?

Back

Relative frequency is the ratio of the frequency of a particular category to the total frequency, often expressed as a percentage.

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How do you calculate relative frequency from a two-way table?

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To calculate relative frequency, divide the frequency of the specific category by the total frequency of all categories, then multiply by 100 to get a percentage.

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

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It indicates that a larger proportion of the total sample falls into that category compared to others.

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

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

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If 40 out of 100 students eat breakfast, what is the relative frequency of students who eat breakfast?

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40%.

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In a two-way table, what does each cell represent?

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Each cell represents the frequency count of occurrences for the corresponding categories of the two variables.

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

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The totals provide a summary of the overall counts for each category, which is essential for calculating relative frequencies.

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How can you interpret the results of a two-way table?

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By analyzing the relative frequencies, you can determine trends, compare categories, and make inferences about the relationship between the variables.

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What is an example of a categorical variable?

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Examples of categorical variables include gender, favorite color, or type of sport played.