To find the median of a set of numbers, we follow these steps:

1. Arrange the numbers in ascending order:

   • 3, 4, 7, 8, 8, 9

2. Determine if the set contains an odd or even number of values:

   • There are 6 values, which is an even number.

3. Find the median for an even number of values:

   • The median is the average of the two middle values. In this case, the two middle values are the 3rd and 4th numbers in the sorted list, which are 7 and 8.

4. Calculate the average: $\text{Median} = \frac{7 + 8}{2} = \frac{15}{2} = 7.5$

So, the median of the given data set is 7.5.

Would you like further details or have any questions?

Here are 5 related questions to expand on this:

1. How do you find the median if the dataset contains an odd number of values?
2. What is the difference between the median and the mean of this dataset?
3. How would outliers affect the median in a larger dataset?
4. Can a dataset have the same value for both the median and the mode?
5. How does the median compare to the mode in this particular dataset?

Tip: The median is less sensitive to extreme values (outliers) compared to the mean.