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To calculate the mean absolute deviation, we first need to calculate the mean of the data set:
(10 + 12 + 14 + 15 + 16 + 17) / 6 = 84 / 6 = 14
Next, we calculate the absolute deviation of each data point from the mean:
|10 - 14| = 4
|12 - 14| = 2
|14 - 14| = 0
|15 - 14| = 1
|16 - 14| = 2
|17 - 14| = 3
Now, we find the mean of these absolute deviations:
(4 + 2 + 0 + 1 + 2 + 3) / 6 = 12 / 6 = 2
So, the main absolute deviation of Tessa's data set is 2.