If the point of intersection of more than and less than ogiven is (20.5, 30.7) then the median is _______

Answer

To find the median given the point of intersection of the more than and less than curves, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information**:
We are given that the point of intersection of the more than and less than curves is (20.5, 30.7). This means that at x = 20.5, the cumulative frequency of the data is 30.7.

2. **Identify the Median**:
The median is the value that separates the higher half from the lower half of the data set. In the context of cumulative frequency curves, the median corresponds to the x-coordinate of the point where the cumulative frequency reaches half of the total frequency.

3. **Locate the x-coordinate**:
From the point of intersection (20.5, 30.7), we see that the x-coordinate is 20.5. This x-coordinate represents the median of the data set.

4. **Conclusion**:
Therefore, the median of the given data set is 20.5.

### Final Answer:
The median is **20.5**.

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