Which methodology is most useful for displaying how a total quantity is apportioned to a group of categories?

The pie chart is particularly effective for demonstrating how a total quantity is divided among different categories. This visual representation allows viewers to easily see the relative proportions of each category in relation to the whole, as each slice of the pie corresponds to a specific category's contribution. With the clear segmentation and labeling, it delivers an immediate understanding of how the total is apportioned, making it ideal for presenting data where the focus is on the composition of a whole.

In contrast, a bar graph is more suitable for comparing quantities across categories, allowing for easy examination of differences in size but not specifically for showcasing proportions of a total. A histogram, while helpful for showing the distribution of continuous data, does not apply here as it focuses on frequency rather than proportional relationships. A scatter plot is designed to show the relationship between two numerical variables, which is not relevant when the goal is to illustrate how a total quantity is shared among categories.