To find the median of a dataset, we need to first arrange all the numbers in ascending order and then find the middle value.

Step-by-Step Solution:

1. List the Data Points: The dataset provided is: $8, 7, 6, 6, 4, 1, 5, 3, 2, 7, 4, 6, 5, 4, 7, 2, 7, 7, 9, 4, 3, 9, 7, 8, 5, 5, 6, 8$

2. Arrange the Data in Ascending Order: Let's sort the dataTo find the median of a dataset, we need to first arrange all the numbers in ascending order and then find the middle value.

Step-by-Step Solution:

1. List the Data Points: The dataset provided is: $8, 7, 6, 6, 4, 1, 5, 3, 2, 7, 4, 6, 5, 4, 7, 2, 7, 7, 9, 4, 3, 9, 7, 8, 5, 5, 6, 8$

2. Arrange the Data in Ascending Order: Let's sort the $1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9$

3. Count the Total Number of Data Points: There are 28 data points in total.

4. Determine if the Count is Odd or Even:

   • Since 28 is an even number, the median is the average of the 14th and 15th numbers in the ordered list.

5. Find the 14th and 15th Numbers in the Sorted List:

   • The 14th number is 6.
   • The 15th number is also 6.

6. Calculate the Median: $\text{Median} = \frac{6 + 6}{2} = 6$

Conclusion:

The median of the dataset is 6.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How do you calculate the mean of a dataset?
2. What is the mode of this dataset?
3. How does adding another value affect the median?
4. What is the range of this dataset?
5. How does the median compare to the mean in datasets with skewed distributions?

Tip: When a dataset has an even number of data points, the median is the average of the two middle numbers.