Which of the following accurately describes the information typically displayed in a bar graph when visualizing data?

• A. A bar graph is primarily used to show the distribution of continuous quantitative data.
• B. A bar graph is best for showing the cumulative frequency of quantitative data intervals.
• C. A bar graph displays the relationship between two quantitative variables using points connected by lines.
• D. A bar graph is used to display the frequency or count of categories for qualitative ($\mathrm{categorical}$) data.

Answer: (D)

Verified step by step guidance

1. Understand the purpose of a bar graph: it is designed to display data for different categories, showing the frequency or count of each category.
2. Recognize that bar graphs are typically used for qualitative (categorical) data, where each bar represents a category and its height corresponds to the frequency or count.
3. Note that bar graphs are not suitable for continuous quantitative data distributions; histograms are used instead for that purpose.
4. Understand that cumulative frequency is usually shown with ogive graphs or cumulative frequency graphs, not bar graphs.
5. Realize that relationships between two quantitative variables are best visualized with scatter plots or line graphs, not bar graphs.