1. **State the problem:** We are given a frequency distribution table with class intervals and frequencies, and we need to determine the median class.
2. **Recall the formula and rules:** The median class is the class interval where the cumulative frequency reaches or exceeds half of the total frequency.
3. **Given data:**
Class intervals and frequencies:
- [0,25[: 4
- [25,50[: 5
- [50,75[: 3
- [75,100[: 4
- [100,125[: 6
- [125,150[: 1
Total frequency $N = 23$
4. **Calculate half of total frequency:**
$$\frac{N}{2} = \frac{23}{2} = 11.5$$
5. **Calculate cumulative frequencies:**
- Up to [0,25[: 4
- Up to [25,50[: $4 + 5 = 9$
- Up to [50,75[: $9 + 3 = 12$
- Up to [75,100[: $12 + 4 = 16$
- Up to [100,125[: $16 + 6 = 22$
- Up to [125,150[: $22 + 1 = 23$
6. **Determine the median class:**
The cumulative frequency just before exceeding 11.5 is 9 (up to [25,50[), and the next cumulative frequency is 12 (up to [50,75[), which exceeds 11.5.
Therefore, the median class is **[50,75[**.
**Final answer:** The median class is **[50,75[**.
Median Class 1F9293
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