Find the mean absolute deviation of the following dataset. Round your answer to the nearest tenth.
204, 211, 216, 300, 426, 567, 680
(1 point)
First, we need to find the mean of the dataset:
Mean = (204 + 211 + 216 + 300 + 426 + 567 + 680) / 7
Mean = 2604 / 7
Mean = 372
Next, we find the absolute deviations of each data point from the mean:
|204 - 372| = 168
|211 - 372| = 161
|216 - 372| = 156
|300 - 372| = 72
|426 - 372| = 54
|567 - 372| = 195
|680 - 372| = 308
Now, we calculate the mean absolute deviation:
Mean Absolute Deviation = (168 + 161 + 156 + 72 + 54 + 195 + 308) / 7
Mean Absolute Deviation = 1114 / 7
Mean Absolute Deviation ≈ 159.1
Therefore, the mean absolute deviation of the dataset is approximately 159.1.