1. **Problem Statement:** We have luggage weights of 20 passengers and need to construct a frequency table using given class intervals, then identify the class with the highest frequency. 2. **Given Data:** Weights (kg): 20.3, 17.8, 5.7, 23.0, 16.1, 15.4, 15.5, 14.2, 23.1, 23.2, 7.9, 10.5, 29.4, 18.1, 14.9, 17.8, 21.0, 21.0, 30.0, 4.6 3. **Class Intervals:** 0–5, 5–10, 10–15, 15–20, 20–25, 25–30 4. **Frequency Table Construction:** Count how many weights fall into each interval. - 0–5: Includes weights $\geq 0$ and $< 5$ (4.6 fits here) → Frequency = 1 - 5–10: $\geq 5$ and $< 10$ (5.7, 7.9) → Frequency = 2 - 10–15: $\geq 10$ and $< 15$ (10.5, 14.2, 14.9) → Frequency = 3 - 15–20: $\geq 15$ and $< 20$ (15.4, 15.5, 16.1, 17.8, 17.8, 18.1) → Frequency = 6 - 20–25: $\geq 20$ and $< 25$ (20.3, 21.0, 21.0, 23.0, 23.1, 23.2) → Frequency = 6 - 25–30: $\geq 25$ and $< 30$ (29.4) → Frequency = 1 Note: 30.0 is exactly 30, which is not included in 25–30 if upper bound is exclusive; if inclusive, it would be counted here. Assuming exclusive upper bound, 30.0 is excluded. 5. **Summary Table:** | Class Interval | Frequency | |---------------|-----------| | 0–5 | 1 | | 5–10 | 2 | | 10–15 | 3 | | 15–20 | 6 | | 20–25 | 6 | | 25–30 | 1 | 6. **Highest Frequency Class:** Both 15–20 and 20–25 have the highest frequency of 6. **Final answer:** The classes 15–20 and 20–25 have the highest frequency of 6 each.