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To find the mean absolute deviation, follow these steps:
1. Calculate the mean of the dataset:
Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7
2. Calculate the absolute deviations for each data point from the mean:
|125 - 170.7| = 45.7
|198 - 170.7| = 27.3
|209 - 170.7| = 38.3
|213 - 170.7| = 42.3
|101 - 170.7| = 69.7
|178 - 170.7| = 7.3
3. Calculate the mean of the 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 approximately 38.4 when rounded to the nearest tenth.