Subjects statistics

Median Distance D4Da47

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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.