1. **State the problem:** We have 30 heights of adult males and need to construct a frequency distribution and a frequency histogram using 5 classes. 2. **Find the range:** The smallest height is 67 and the largest is 74. 3. **Calculate class width:** $$\text{Class width} = \frac{\text{Max} - \text{Min}}{\text{Number of classes}} = \frac{74 - 67}{5} = \frac{7}{5} = 1.4$$ We round up to 2 for easier class intervals. 4. **Define classes:** Starting from 67, classes are: - 67 to <69 - 69 to <71 - 71 to <73 - 73 to <75 - 75 to <77 (no data here but to keep 5 classes) 5. **Count frequencies:** - 67 to <69: 67, 67 (2), 68, 68, 68, 68 (6 total) - 69 to <71: 69, 69, 69, 69, 69 (5), 70, 70, 70, 70, 70 (5) total 10 - 71 to <73: 71, 71, 71, 71, 71, 71, 71 (7), 72, 72 (2) total 9 - 73 to <75: 73, 73, 74, 74 (4) - 75 to <77: none (0) 6. **Frequency distribution table:** | Class Interval | Frequency | |----------------|-----------| | 67 - 68 | 6 | | 69 - 70 | 10 | | 71 - 72 | 9 | | 73 - 74 | 4 | | 75 - 76 | 0 | 7. **Frequency histogram:** Plot bars with class intervals on x-axis and frequencies on y-axis. Final answer: Frequency distribution as above and histogram with these classes and frequencies.