a. Discuss when a pictograph might be more appropriate than a circle graph. b. Discuss when a circle graph might be more appropriate than a bar graph. c. Give an example of a set of data for which a stem-and-leaf plot would be more informative than a histogram. a. Choose the correct answer below. A. A pictograph might be more appropriate when comparing data over time where treating the data as part of a whole is appropriate. B. A circle graph is always preferable to a pictograph. C. A pictograph might be more appropriate when comparing data over time where treating the data as part of a whole is not appropriate. D. A pictograph might be more appropriate when the data is categorical.

**Answer to Part a:** The correct answer is: **D. A pictograph might be more appropriate when the data is categorical.** **Explanation:** - **Pictographs** are particularly effective for representing **categorical data**, where each category can be depicted using specific icons or images. This makes the data more visually engaging and easier to understand at a glance. For example, using different icons to represent various types of fruits in a survey can quickly convey the distribution of preferences. - **Circle graphs** (pie charts), on the other hand, are best suited for showing how different parts make up a whole, emphasizing the proportions of each category relative to the entire dataset. They are most effective when you want to highlight the percentage share of each category. **Why Option D is Correct:** Option D accurately captures the scenario where a pictograph is more suitable than a circle graph by focusing on the categorical nature of the data. While both pictographs and circle graphs can represent categorical data, pictographs offer a more illustrative and engaging way to display such information without necessarily emphasizing proportions. **Why Other Options Are Incorrect:** - **A.** While pictographs can be used to compare data over time, this is not their primary advantage over circle graphs. Moreover, circle graphs are not typically used for time series data. - **B.** Circle graphs are **not always** preferable to pictographs. The choice depends on the nature of the data and the message you want to convey. - **C.** Pictographs are not specifically designed for time-based comparisons, and this option incorrectly associates pictographs with scenarios where the data is **not** part of a whole, which doesn't directly address the comparison with circle graphs. --- If you need assistance with parts **b** and **c** of your question, feel free to ask!