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To find the median of the given set of numbers, we first need to arrange them in ascending order:

Original set:  
\[ 31, 18, 24, 24, 20, 18, 22, 29 \]

Sorted set:  
\[ 18, 18, 20, 22, 24, 24, 29, 31 \]

The median is the middle value in the sorted set. Since there are 8 numbers (an even number), the median is the average of the two middle numbers.

The two middle numbers are the 4th and 5th values in the sorted set:  
\[ 22 \text{ and } 24 \]

Median calculation:  
\[ \text{Median} = \frac{22 + 24}{2} = \frac{46}{2} = 23 \]

So, the median is **23**.

Would you like more details or have any questions?  
Here are some related questions you might consider:

1. How do you calculate the mode of a dataset?
2. What is the range of this dataset?
3. How does the mean compare to the median in this set?
4. What are quartiles and how are they calculated?
5. How would the median change if one number in the set were different?

**Tip:** When dealing with an even number of data points, always remember to average the two middle numbers for the median!

What is the median? [31, 18, 24, 24, 20, 18, 22, 29]

Learn how to find the median of the dataset [31, 18, 24, 24, 20, 18, 22, 29]. This problem walks you through the process of sorting the numbers and calculating the median by averaging the two middle values. Suitable for Grades 6-8 students.

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