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

Step 1: Arrange the data in ascending order.

The given data set is: $5, 8, 12, 17, 12, 14, 6, 8, 12, 10$

In ascending order, it becomes: $5, 6, 8, 8, 10, 12, 12, 12, 14, 17$

Step 2: Find the position of the median.

Since there are 10 numbers in the data set (an even number of elements), the median will be the average of the two middle numbers. The two middle numbers are located at positions 5 and 6.

The 5th number is 10, and the 6th number is 12.

Step 3: Calculate the median.

The median is the average of 10 and 12: $\text{Median} = \frac{10 + 12}{2} = \frac{22}{2} = 11$

Thus, the median of the data set is 11.

Would you like more details on this, or do you have any questions?

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Here are five related questions:

1. How do you find the median of a data set with an odd number of values?
2. What is the mode of the given data set?
3. How do you calculate the mean of this data set?
4. What are the differences between mean, median, and mode?
5. How would the median change if one of the values was removed?

Tip: Always arrange the data in order before finding the median to ensure accurate results.