Grouped Frequency
1. **State the problem:** We need to construct a grouped frequency distribution for the leisure time (in hours) of 80 college students.
2. **Organize the data:** The data ranges from 10 to 49 hours. We will group the data into class intervals of width 5 for clarity.
3. **Define class intervals:**
- 10–14
- 15–19
- 20–24
- 25–29
- 30–34
- 35–39
- 40–44
- 45–49
4. **Count frequencies:** Count how many data points fall into each interval.
- 10–14: 10, 11, 11, 12, 12, 13, 14, 14 → 8
- 15–19: 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19 → 25
- 20–24: 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24 → 25
- 25–29: 25, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29 → 11
- 30–34: 30, 31, 34 → 3
- 35–39: 38 → 1
- 40–44: 44 → 1
- 45–49: 49 → 1
5. **Construct the grouped frequency distribution table:**
| Class Interval | Frequency |
|---------------|-----------|
| 10–14 | 8 |
| 15–19 | 25 |
| 20–24 | 25 |
| 25–29 | 11 |
| 30–34 | 3 |
| 35–39 | 1 |
| 40–44 | 1 |
| 45–49 | 1 |
This table summarizes the data into groups showing how many students fall into each leisure time interval.
**Final answer:** The grouped frequency distribution is as shown in the table above.