Frequency Distribution 2E87Ec
1. **Problem:** Construct a frequency distribution table for weekly physical training hours of 30 soldiers with data: 3, 4, 5, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 5, 6, 7, 8, 4, 5, 6, 7, 3, 4, 5, 6, 7.
2. **Formula and rules:** Frequency distribution groups data into classes (intervals) and counts occurrences in each class.
3. **Step 1: Determine range and class intervals.**
- Minimum value = 3
- Maximum value = 8
- Range = $8 - 3 = 5$
- Choose class width = 1 (since data are integers and spread is small)
- Classes: 3, 4, 5, 6, 7, 8
4. **Step 2: Count frequencies for each class:**
- 3 appears 3 times
- 4 appears 5 times
- 5 appears 6 times
- 6 appears 5 times
- 7 appears 6 times
- 8 appears 5 times
5. **Step 3: Construct frequency table:**
| Class | Frequency |
|-------|-----------|
| 3 | 3 |
| 4 | 5 |
| 5 | 6 |
| 6 | 5 |
| 7 | 6 |
| 8 | 5 |
This table summarizes the distribution of weekly training hours among soldiers.
**Final answer:** Frequency distribution table with classes 3 to 8 and corresponding frequencies as above.