The problem from the image asks to calculate the median of the following data set:

$5, 6, 7, 8, 9, 10, 11, 12$

Steps to find the median:

1. Order the data: The numbers are already in ascending order.
2. Identify the number of data points: There are 8 numbers in total.
3. Find the median:
   • Since there is an even number of data points, the median is the average of the two middle numbers.
   • The middle numbers are the 4th and 5th numbers in the ordered list: 8 and 9.
   • The median is the average of these two numbers: $\text{Median} = \frac{8 + 9}{2} = \frac{17}{2} = 8.5$

Conclusion:

The median of the data set $5, 6, 7, 8, 9, 10, 11, 12$ is 8.5.

Would you like further details or have any questions?

Here are 5 related questions you could explore:

1. What is the mode of this data set?
2. How is the mean of the same data set calculated?
3. How does the concept of median change with odd and even data sets?
4. What is the range of this data set?
5. Can the median ever be a number not present in the original data?

Tip: For an odd number of data points, the median is simply the middle value.