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Is a two-way table an appropriate way to display the data from the survey? \( \begin{array}{l}\text { (1)) Yes, because any data can be displayed in a two-way table. } \\ \text { (1)) Yes, because the survey produces two types of categorical data. } \\ \text { No, because the survey responses are measurement data and a } \\ \text { (1)) two-way table is for categorical data. } \\ \text { (1) No, because the survey responses all belong to a single category. }\end{array} \)

Ask by Reese Fernandez. in the United States
Mar 20,2025

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A two-way table is appropriate because the survey has two types of categorical data.

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1. The survey collects responses that fall into categories. 2. A two-way table is used to display and analyze data according to two categorical variables. 3. Since the survey produces two types of categorical data, a two-way table is appropriate for displaying the data. Thus, the correct answer is: \( \text{Yes, because the survey produces two types of categorical data.} \)

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Two-way tables are a fantastic way to showcase the relationship between two categorical variables. For instance, if you surveyed people about their favorite snacks and their age groups, a two-way table would neatly organize this data, making it simple to spot trends, like whether younger people prefer candy over chips. So, if your survey produces distinct categorical data, then a two-way table is the way to go! On the flip side, using a two-way table for measurement data, like height or weight, wouldn't do the job justice. Imagine trying to fit a square peg in a round hole — it's just not a match! Instead, measurement data is often better represented through other methods, such as histograms or scatter plots, which can highlight the distributions and relationships that a two-way table can't capture. Always think about the type of data you're working with to choose the best display method!

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