Which type of chart is used to plot statistics for one variable against values for a noncontinuous variable?

The use of a polygon, often referred to as a line chart, is particularly suited for plotting statistics for one variable against values for a noncontinuous variable. This type of chart effectively displays trends over intervals or categories, showcasing how one variable changes in relation to another over a sequence of discrete points or categories.

Line charts connect individual data points with straight lines, which helps visualize the overall patterns and trends in the data. They are ideal for depicting changes over time or other sequential data that is not inherently continuous, allowing for a clear interpretation of variations across the sampled intervals.

In contrast, other types of charts serve different purposes. Bar charts represent categorical data with rectangular bars but typically focus on discrete categories rather than trends over intervals. Area charts fill the space below the line, which might emphasize magnitude but not necessarily provide clearer insights into the relationship between a noncontinuous variable and its dependent variable. Box plots are useful for summarizing distributions and identifying outliers but do not focus on the relationship between two variables. Thus, the use of a polygon (or line chart) for this specific application effectively conveys the intended relationships within the data.