Find the mean absolute deviation of the following dataset. Round your answer to the nearest tenth.
204, 211, 216, 300, 426, 567, 680
A: 159.1
B: 151
C: 372
D: 72.3
First, find the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 338.1
Next, find the absolute deviations for each number from the mean:
|204 - 338.1| = 134.1
|211 - 338.1| = 127.1
|216 - 338.1| = 122.1
|300 - 338.1| = 38.1
|426 - 338.1| = 87.9
|567 - 338.1| = 228.9
|680 - 338.1| = 341.9
Now, find the mean absolute deviation:
(134.1 + 127.1 + 122.1 + 38.1 + 87.9 + 228.9 + 341.9) / 7 ≈ 155.4
Rounded to the nearest tenth, the mean absolute deviation is 155.4, which is not one of the provided answer choices.