Two Way Frequency Tables

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What is a two-way frequency table?

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A two-way frequency table is a statistical tool that displays the frequency of different outcomes in two categorical variables, allowing for the analysis of the relationship between them.

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How do you calculate the total number of responses in a two-way frequency table?

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To calculate the total number of responses, sum all the frequencies in the table.

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What does the term 'marginal frequency' refer to in a two-way frequency table?

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Marginal frequency refers to the totals found in the margins (last row and last column) of a two-way frequency table, representing the total counts for each category.

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What is the purpose of a two-way frequency table?

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The purpose of a two-way frequency table is to organize data to show the relationship between two categorical variables and to facilitate comparison.

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How can you determine the relationship between two variables using a two-way frequency table?

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By analyzing the frequencies and marginal totals, you can identify patterns or trends that indicate a relationship between the two variables.

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What is a conditional frequency in a two-way frequency table?

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A conditional frequency is the frequency of a specific category of one variable given a specific category of another variable.

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How do you find the relative frequency in a two-way frequency table?

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Relative frequency is found by dividing the frequency of a specific category by the total number of responses.

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What is the difference between a two-way frequency table and a one-way frequency table?

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A one-way frequency table displays the frequency of a single categorical variable, while a two-way frequency table displays the frequencies of two categorical variables and their relationship.

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How can you use a two-way frequency table to answer questions about proportions?

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You can use the relative frequencies calculated from the table to answer questions about proportions of categories within the two variables.

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What does it mean if a two-way frequency table shows a higher frequency in one category compared to another?

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It indicates that there is a greater occurrence of that category in the data set, which may suggest a preference or trend.