1. **State the problem:** We need to create a histogram with intervals of 10 for the data set: 29, 30, 5, 37, 8, 15, 40, 32, 22, 20, 45, 35. 2. **Define intervals:** Since the data ranges from 5 to 45, intervals of 10 are: 0-9, 10-19, 20-29, 30-39, 40-49. 3. **Count data points in each interval:** - 0-9: 5, 8 → 2 data points - 10-19: 15 → 1 data point - 20-29: 20, 22, 29 → 3 data points - 30-39: 30, 32, 35, 37 → 4 data points - 40-49: 40, 45 → 2 data points 4. **Construct histogram:** The histogram bars correspond to these counts for each interval. 5. **Summary:** The histogram intervals and frequencies are: $$ \begin{aligned} &0-9: 2 \\ &10-19: 1 \\ &20-29: 3 \\ &30-39: 4 \\ &40-49: 2 \end{aligned} $$ This matches the histogram with bars of heights 2, 1, 3, 4, and 2 for the intervals 0-9, 10-19, 20-29, 30-39, and 40-49 respectively.