Find the median. 25,26,26,28,29,29,32,33,34,35,35,37,38,38,39,40,45,45,45,47

To find the median of a data set, you need to arrange the numbers in order (which is already done here) and then find the middle value. If the number of values in the data set is odd, the median is the middle number. If the number of values is even, the median is the average of the two middle numbers.

The data set is:

\[ 25, 26, 26, 28, 29, 29, 32, 33, 34, 35, 35, 37, 38, 38, 39, 40, 45, 45, 45, 47 \]

This data set has 20 numbers, which is an even number. Therefore, the median will be the average of the 10th and 11th values.

The 10th value is 35, and the 11th value is also 35. 

So, the median is:

\[
\text{Median} = \frac{35 + 35}{2} = 35
\]

Thus, the median of this data set is **35**.

Would you like more details or have any questions?

Here are 8 related questions:
1. How do you find the median in an odd-numbered data set?
2. What is the mode of the given data set?
3. How do you calculate the mean of this data set?
4. What is the range of this data set?
5. How does the median differ from the mean?
6. Can there be more than one median in a data set?
7. How do outliers affect the median?
8. How is the median used in real-world applications?

**Tip:** The median is a useful measure of central tendency when dealing with skewed distributions, as it is less affected by outliers than the mean.

Learn how to find the median of the data set 25, 26, 26, 28, 29, 29, 32, 33, 34, 35, 35, 37, 38, 38, 39, 40, 45, 45, 45, 47 with a detailed step-by-step solution. Understand the concept of median and how it applies to both even and odd numbered data sets. Suitable for students in Grades 9-12.

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