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To find the mean absolute deviation, first, calculate the mean of the dataset:
Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7
Next, calculate the absolute deviations of each data point from the mean:
125: |125 - 170.7| = 45.7
198: |198 - 170.7| = 27.3
209: |209 - 170.7| = 38.3
213: |213 - 170.7| = 42.3
101: |101 - 170.7| = 69.7
178: |178 - 170.7| = 7.3
Now, calculate the mean of these absolute deviations:
Mean Absolute Deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
Mean Absolute Deviation = 230.6 / 6
Mean Absolute Deviation = 38.4
Therefore, the mean absolute deviation of the dataset is 38.4 (rounded to the nearest tenth).