Find the median of range 32 6 21 10,8,11,12,36,17,16,15,18,40,24,21,23,24,24,29,16,32,31,10,30,35,32,18,39,12,20

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

1. **Arrange the numbers in ascending order**:
   \[
   6, 8, 10, 10, 11, 12, 12, 15, 16, 16, 17, 18, 18, 20, 21, 21, 23, 24, 24, 24, 29, 30, 31, 32, 32, 32, 35, 36, 39, 40
   \]

2. **Count the total number of values**:
   There are 30 values in the list.

3. **Determine the median**:
   - Since the number of values (30) is even, the median will be the average of the 15th and 16th numbers in the sorted list.
   - The 15th number is 21, and the 16th number is 21.

4. **Calculate the median**:
   \[
   \text{Median} = \frac{21 + 21}{2} = 21
   \]

So, the median of the given set of numbers is **21**.

Would you like more details or have any questions?

Here are some related questions you might be interested in:

1. How do you find the mode of a dataset?
2. What is the difference between the mean and the median?
3. How do you calculate the range of a dataset?
4. What is the significance of the median in a skewed distribution?
5. How do you handle outliers when calculating the median?

**Tip:** The median is often more representative of a dataset's center in skewed distributions than the mean.

Learn how to find the median of a dataset with detailed steps. This problem involves arranging numbers in ascending order, counting the total number of values, and determining the median by averaging the middle two values. Suitable for students in Grades 9-12 studying statistics and measures of central tendency.

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