1. **State the problem**: Find the Mean Absolute Deviation (MAD) for the data set $13, 2, 9, 13, 2, 13, 17, 17, 2, 9, 14$. 2. **Calculate the mean** $\bar{x}$: First, sum all the data values: $$13 + 2 + 9 + 13 + 2 + 13 + 17 + 17 + 2 + 9 + 14 = 111$$ Count the number of data points: there are $11$ values. Calculate the mean: $$\bar{x} = \frac{111}{11} = 10.09$$ (rounded to two decimal places) 3. **Calculate the absolute deviations**: Subtract the mean from each value and take the absolute value: $|13 - 10.09| = 2.91$ $|2 - 10.09| = 8.09$ $|9 - 10.09| = 1.09$ $|13 - 10.09| = 2.91$ $|2 - 10.09| = 8.09$ $|13 - 10.09| = 2.91$ $|17 - 10.09| = 6.91$ $|17 - 10.09| = 6.91$ $|2 - 10.09| = 8.09$ $|9 - 10.09| = 1.09$ $|14 - 10.09| = 3.91$ 4. **Sum the absolute deviations**: $$2.91 + 8.09 + 1.09 + 2.91 + 8.09 + 2.91 + 6.91 + 6.91 + 8.09 + 1.09 + 3.91 = 52.01$$ 5. **Calculate the MAD**: Divide the sum of absolute deviations by the number of data points: $$MAD = \frac{52.01}{11} = 4.73$$ (rounded to two decimal places) **Final answers:** Mean $\bar{x} = 10.09$ Mean Absolute Deviation (MAD) $= 4.73$