**Mean and Median Calculation for Given Data**

To calculate the mean and median of the given data, we need to follow the steps mentioned below.

1. **Mean Calculation:**
The mean is calculated by summing up all the values and then dividing the sum by the total number of values.

Let's calculate the mean for the given data:

Number of students (5-14): 10
Number of students (15-24): 18
Number of students (25-34): 32
Number of students (35-44): 26
Number of students (45-54): 14
Number of students (55-64): 10

Sum of all the values = 10 + 18 + 32 + 26 + 14 + 10 = 110

Total number of values = 6

Mean = Sum of all values / Total number of values
= 110 / 6
= 18.33

So, the mean of the given data is 18.33.

2. **Median Calculation:**
The median is the middle value of a set of data when arranged in ascending order.

To calculate the median, we need to arrange the data in ascending order:

10, 10, 14, 18, 26, 32

As the total number of values is 6, the middle value will be the average of the 3rd and 4th value.

Median = (14 + 18) / 2
= 32 / 2
= 16

So, the median of the given data is 16.

**Conclusion:**
The mean of the given data is 18.33, and the median is 16.