1. **State the problem:** We need to find the median distance jumped from the given histogram data.
2. **Understand the data:** The histogram shows the number of students for different distance intervals:
- 120 cm: about 4 students
- 200 cm: about 8 students
- 280 cm: 14 students
- 400 cm: about 2 students
3. **Calculate total number of students:**
$$4 + 8 + 14 + 2 = 28$$
4. **Find the median position:**
The median is the middle value, so for 28 students, median position is:
$$\frac{28}{2} = 14$$th student
5. **Locate the median class:**
- First 4 students jumped 120 cm (positions 1 to 4)
- Next 8 students jumped 200 cm (positions 5 to 12)
- Next 14 students jumped 280 cm (positions 13 to 26)
- Last 2 students jumped 400 cm (positions 27 to 28)
The 14th student falls in the 280 cm group.
6. **Conclusion:**
The median distance jumped is approximately **280 cm**.
This matches the estimate given in the problem.
Median Distance D4Da47
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