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 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 the total frequency in a two-way frequency table?

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To calculate the total frequency, sum all the frequencies in the table, including both row and column totals.

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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 (sums of rows or columns) of a two-way frequency table.

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How can you determine the least popular category in a two-way frequency table?

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To determine the least popular category, compare the frequencies of each category and identify the one with the lowest frequency.

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What is the formula to calculate the percentage of a specific category in a two-way frequency table?

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The percentage of a specific category is calculated by dividing the frequency of that category by the total frequency and then multiplying by 100.

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What information can be derived from the row totals in a two-way frequency table?

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Row totals provide the overall frequency for each category of the first variable, allowing for analysis of that variable's distribution.

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What information can be derived from the column totals in a two-way frequency table?

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Column totals provide the overall frequency for each category of the second variable, allowing for analysis of that variable's distribution.

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How do you interpret the intersection of a row and column in a two-way frequency table?

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The intersection of a row and column in a two-way frequency table shows the frequency of occurrences for the combination of the two categories represented.

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What is the significance of the total number of observations in a two-way frequency table?

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The total number of observations indicates the sample size and is essential for calculating percentages and understanding the data's context.

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How can you use a two-way frequency table to analyze relationships between variables?

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A two-way frequency table allows for the examination of patterns and relationships between two categorical variables by comparing their frequencies.