Find the median for the following group of data items.

27 comma 24 comma 23 comma 22 comma 28 comma 25 comma 21 comma 2327, 24, 23, 22, 28, 25, 21, 23  

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Part 1

The median is 

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

### Step 1: Arrange the data in ascending order.
The given data is:  
\[ 27, 24, 23, 22, 28, 25, 21, 23 \]

Arranging in ascending order:  
\[ 21, 22, 23, 23, 24, 25, 27, 28 \]

### Step 2: Determine the number of data points.
There are **8 data items** in total.

### Step 3: Identify the middle position(s).
- Since the number of data points (\( n \)) is even, the median is the **average of the two middle values**.
- The two middle values are the 4th and 5th items in the sorted list:  
  \[ 23 \text{ and } 24 \]

### Step 4: Calculate the median.
\[
\text{Median} = \frac{\text{4th value} + \text{5th value}}{2}
\]
\[
\text{Median} = \frac{23 + 24}{2} = \frac{47}{2} = 23.5
\]

### Final Answer:
The **median** is **23.5**.

Would you like a detailed explanation of the process or examples of similar problems? Here are five related questions to deepen your understanding:

1. How do you find the median if the data set contains an odd number of items?
2. What is the difference between mean and median in a data set?
3. How does adding an additional data point affect the median?
4. Can the median be a value not present in the original data set? Why?
5. How does the presence of outliers affect the median compared to the mean?

**Tip:** The median is less sensitive to outliers than the mean, making it a better measure of central tendency for skewed data!

Find the median for the following group of data items: 27, 24, 23, 22, 28, 25, 21, 23.

Discover how to find the median for a data set with eight items: 27, 24, 23, 22, 28, 25, 21, 23. Learn about sorting, identifying middle values, and calculating the average of two central numbers. Suitable for Grades 5-7 students.

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