To find the median, we first need to arrange the numbers in ascending order and then locate the middle value(s). The data set provided is:

$34, 29, 29, 32, 34, 35, 28, 30$

Step 1: Arrange the numbers in order

$28, 29, 29, 30, 32, 34, 34, 35$

Step 2: Identify the middle values

Since there are 8 numbers, which is even, the median is the average of the 4th and 5th numbers in the sorted list:

• The 4th number is 30
• The 5th number is 32

Step 3: Calculate the median

$\text{Median} = \frac{30 + 32}{2} = \frac{62}{2} = 31$

Thus, the median is 31.

Would you like more details or have any questions?

Here are 5 follow-up questions for practice:

1. How would the median change if one more number were added to the data set?
2. What is the mode of this data set?
3. Can you calculate the mean (average) of these numbers?
4. What is the range of the data set?
5. If you removed the highest number (35), what would the new median be?

Tip: The median is particularly useful when you want to reduce the effect of outliers or skewed data.