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)
yep
The mean of the dataset is 378.6.
To find the mean absolute deviation, we calculate the absolute difference between each data point and the mean, then find the average of these absolute differences.
|204 - 378.6| = 174.6
|211 - 378.6| = 167.6
|216 - 378.6| = 162.6
|300 - 378.6| = 78.6
|426 - 378.6| = 47.4
|567 - 378.6| = 188.4
|680 - 378.6| = 301.4
Average of these absolute differences = (174.6 + 167.6 + 162.6 + 78.6 + 47.4 + 188.4 + 301.4) / 7 ≈ 168.6
Therefore, the mean absolute deviation of the dataset is approximately 168.6.