To determine whether the frequency table provided can be graphically displayed as a histogram, follow these steps:
1. Understanding a Frequency Table:
- The table provided lists color patterns and the number of students who selected each pattern. The two columns are `Color Pattern` and `Frequency`.
2. Key Features of a Histogram:
- A histogram is a type of bar graph that represents the frequency of data intervals or groups.
- Each bar's height represents the frequency count for that interval/group.
- Histograms are most often used to display the distribution of numerical data.
3. Analyzing the Table for Histogram Suitability:
- In the given table, each color pattern can act as a category.
- The frequencies represent how many students selected each color pattern.
- This form of data categorization allows the information to be visualized in bar form, where each bar represents a different color pattern, and its height reflects the number of students selecting that pattern.
4. Conclusion:
- Given that histograms can represent the frequency of categorical data (in this case, color pattern choices), the table can be graphically displayed as a histogram. Each bar in the histogram would correspond to a different color pattern, with the height of the bar matching the number of students who favored that pattern.
Thus, the answer is:
A. True
