These values have an average of 10 . What is the average distance of those values from that average of 10 ? \( \begin{array}{lllll}2 & 8 & 10 & 12 & 18\end{array} \) Ex: 1

To find the **average distance** of the given values from their average, we'll calculate the **average absolute deviation**. Here's a step-by-step guide: ### Given Data: \[ \text{Values} = 2, \ 8, \ 10, \ 12, \ 18 \] \[ \text{Average (Mean)} = 10 \] ### Steps to Calculate the Average Distance: 1. **Find the Absolute Deviations:** For each value, calculate the absolute difference from the mean (10). \[ \begin{align*} |2 - 10| &= 8 \\ |8 - 10| &= 2 \\ |10 - 10| &= 0 \\ |12 - 10| &= 2 \\ |18 - 10| &= 8 \\ \end{align*} \] 2. **Sum of Absolute Deviations:** \[ 8 + 2 + 0 + 2 + 8 = 20 \] 3. **Calculate the Average Distance:** \[ \text{Average Distance} = \frac{\text{Sum of Absolute Deviations}}{\text{Number of Values}} = \frac{20}{5} = 4 \] ### Conclusion: The **average distance** of the values from the mean (10) is **4**.