https://file.aiquickdraw.com/mathbot/file/1726354008312tte0lx37.jpg

Let's calculate the **mean absolute deviation (MAD)** for the given data set:  
The data points are:  
\[ 10, 20, 12, 4, 18, 8, 14, 18 \]

**Step 1**: Find the mean of the data set.
\[
\text{Mean} = \frac{10 + 20 + 12 + 4 + 18 + 8 + 14 + 18}{8} = \frac{104}{8} = 13
\]

**Step 2**: Find the absolute deviations from the mean for each data point.
- |10 - 13| = 3
- |20 - 13| = 7
- |12 - 13| = 1
- |4 - 13| = 9
- |18 - 13| = 5
- |8 - 13| = 5
- |14 - 13| = 1
- |18 - 13| = 5

**Step 3**: Find the mean of these absolute deviations.
\[
\text{MAD} = \frac{3 + 7 + 1 + 9 + 5 + 5 + 1 + 5}{8} = \frac{36}{8} = 4.5
\]

Thus, the **mean absolute deviation** is **4.5**. 

The value shown in the image (8) seems incorrect. Would you like any additional details or have any questions?

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Here are 5 related questions:
1. How does mean absolute deviation differ from standard deviation?
2. What is the significance of absolute deviations?
3. How is mean absolute deviation used in real-world data analysis?
4. Can you calculate the standard deviation for the same data set?
5. How would removing or adding a value affect the MAD?

**Tip**: The mean absolute deviation helps in understanding how spread out the data points are from the mean, giving a simple measure of variability!

What is the mean absolute deviation of the following set of data? [10, 20, 12, 4, 18, 8, 14, 18]

Learn how to calculate the mean absolute deviation (MAD) for the data set [10, 20, 12, 4, 18, 8, 14, 18]. This problem involves calculating the mean, finding absolute deviations, and averaging these deviations. Suitable for Grades 6-8 students.

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