What type of variables are represented by a comparative boxplot?

Question

BlackTom AI · Accepted Answer

When considering what a comparative boxplot shows, it's important to recall that boxplots visualize a distribution's spread, center, and potential outliers for a numeric variable, often across categories or groups.

Option 1: '2 qual variables' — Qualitative (categorical) variables are not typically summarized by a boxplot, since boxplots display numerical distributions. A plot for two categorical variables would usually be a contingency-style visualization (like a mosaic or stacked bar chart), not a boxplot. This makes the statement inaccurate for a boxplot comparison.

Option 2: '2 quant variables' — A boxplot with two quantitative variables would imply comparing numerical values across two numerical dimensions, which is not how boxplots are designed to operate. Boxplots are used to compare distributions across groups or categories, not to plot two numeric variables directly against each other. Hence this is not the correct interpretation for a comparative boxplot.

Option 3: '1 quant + 1 qual variable' — This aligns with the typical use of a comparative boxplot: you have one quantitative variable whose distribution you want to compare across the levels of a categorical (qualitative) variable. Each category gets its own box, allowing direct comparison of the numeric distributions between groups. This option correctly describes the variable types represented in a comparative boxplot.

In summary, boxplots are designed to summarize numeric data across categories, making the combination of one quantitative and one qualitative variable the appropriate description for a comparative boxplot. The other two options mischaracterize the data types typically shown by this plot type.

DATA1001/1901 (ND) Revision Quiz 2

What type of variables are represented by a comparative boxplot?

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