Certainly! Let's analyze the question step-by-step to determine if it's appropriate to display the given data in a pie chart.
1. Understanding Data Grouping:
- The data are grouped into distinct categories: age groups such as '13-17', '18-25', '26-35', '36-45', and '46 and over'.
- The percentages within each age group represent the proportion of individuals who responded "yes" to listening to audiobooks.
2. Suitability for a Pie Chart:
- Pie charts are effective for displaying data that show how a total amount is divided into parts.
- Since the percentages here represent parts of the whole (each age group's relative "yes" responses), the data are suitable for displaying in a pie chart.
- A pie chart can show the relative size of each category (age group) as a portion of the entire pie, emphasizing the comparison between different categories.
3. Possible Confusion:
- The given percentages are not about time spent listening to audiobooks but the percentage of people in each age group who have confirmed listening to audiobooks.
- This means the data indeed represent relative frequencies of responses out of the whole respondent pool.
4. Broadness of Data Categories:
- The broadness of data categories (age groups) does not impact the ability to use a pie chart. As long as each category represents a distinct segment of the whole, a pie chart remains an appropriate choice.
Thus, after careful consideration, we can conclude that:
### Answer:
Yes, it would be appropriate to display the data with a pie chart because the data are grouped into categories and can be represented as relative frequencies compared with the whole.
The True result supports this conclusion, indicating that the given data is indeed suitable for representation with a pie chart.
