Given:
- Less than ogive and more than ogive intersect at (20.5, 15.5).

To Find:
- The median of the given data.

Approach:
To find the median, we need to determine the value that divides the data into two equal halves. The point of intersection of the less than ogive and more than ogive gives us this value.

Steps:
1. Identify the point of intersection on the graph.
2. Determine the cumulative frequency at this point.
3. Use the cumulative frequency to find the median.

Step 1: Identify the Point of Intersection:
The point of intersection on the graph is given as (20.5, 15.5). This means that at the value 20.5, the cumulative frequency is 15.5.

Step 2: Determine Cumulative Frequency:
To determine the cumulative frequency at 20.5, we need to consider the less than ogive and more than ogive.

Less than Ogive:
The less than ogive represents the cumulative frequency of values less than or equal to a given value. At the point of intersection (20.5, 15.5), the cumulative frequency is 15.5. This means that there are 15.5 values less than or equal to 20.5.

More than Ogive:
The more than ogive represents the cumulative frequency of values greater than or equal to a given value. At the point of intersection (20.5, 15.5), the cumulative frequency is 15.5. This means that there are 15.5 values greater than or equal to 20.5.

Step 3: Find the Median:
To find the median, we need to determine the value that divides the data into two equal halves. Since the cumulative frequency at the point of intersection is 15.5, it means that there are 15.5 values less than or equal to 20.5. Therefore, the median value lies between the 15th and 16th value.

Since the data values are not provided, we cannot determine the exact median value. However, we can conclude that the median lies between the 15th and 16th value, which is closer to the 16th value. Therefore, the median value is greater than 20.5.

Answer:
The median of the given data is greater than 20.5.