1. **Stating the problem:** We are given a frequency distribution table showing the times (in minutes) it took 29 sixth-grade students to complete a math quiz. We want to understand the distribution and visualize it as a histogram. 2. **Understanding the data:** The table shows intervals of time and the number of students (frequency) in each interval: | Time Interval (minutes) | Frequency | |------------------------|-----------| | 10 to less than 12 | 2 | | 12 to less than 14 | 5 | | 14 to less than 16 | 13 | | 16 to less than 18 | 6 | | 18 to less than 20 | 3 | 3. **Formula and rules for histograms:** - Each bar represents a time interval. - The height of each bar corresponds to the frequency of that interval. - Bars are adjacent with no gaps because the intervals are continuous. 4. **Plotting the histogram:** - The x-axis represents time intervals: 10-12, 12-14, 14-16, 16-18, 18-20. - The y-axis represents frequency from 0 to 14. - Heights of bars are 2, 5, 13, 6, and 3 respectively. 5. **Summary:** The most common quiz completion time is between 14 and 16 minutes (frequency 13). No algebraic simplification or calculation is needed here, just understanding and plotting the data.