https://file.aiquickdraw.com/mathbot/file/17272111129258ypjz2ft.jpg

The data set provided in the image is: \( 4, 5, 1, 6 \).

### To find the **median**:
1. **Order the data** from smallest to largest: \( 1, 4, 5, 6 \).
2. Since there are 4 numbers, the median will be the average of the two middle numbers.
   \[
   \text{Median} = \frac{4 + 5}{2} = \frac{9}{2} = 4.5
   \]

### To find the **mean**:
1. Add all the numbers together:
   \[
   4 + 5 + 1 + 6 = 16
   \]
2. Divide the sum by the number of values (which is 4):
   \[
   \text{Mean} = \frac{16}{4} = 4
   \]

The **correct answers** are:
- **Median** = 4.5
- **Mean** = 4

It seems the mean was entered incorrectly as **16** in the image. 

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. What is the mode of the data set \(4, 5, 1, 6\)?
2. How would the median change if an additional number 7 was added to the data set?
3. What is the range of the data set \(4, 5, 1, 6\)?
4. What is the mean of the data set if 3 is added to every number?
5. Can the mean and median be the same for a different data set? Provide an example.

**Tip:** The mean is sensitive to extreme values (outliers), while the median is more resistant to such changes.

Find the median and mean of the data set: 4, 5, 1, 6

Learn how to find the mean and median of the data set 4, 5, 1, 6 with step-by-step guidance. This problem covers key statistical concepts, including calculating the mean and determining the median. Ideal for students in Grades 6-8.

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