Find the main absolute deviation of the following data set round your answer to the nearest 10th
204, 211, 216, 300, 426, 567, 680
To find the main absolute deviation, we first need to find the mean of the data set:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 359.4
Next, we calculate the absolute deviation of each data point from the mean:
|204 - 359.4| = 155.4
|211 - 359.4| = 148.4
|216 - 359.4| = 143.4
|300 - 359.4| = 59.4
|426 - 359.4| = 66.6
|567 - 359.4| = 208.6
|680 - 359.4| = 320.6
The largest absolute deviation is 320.6, rounded to the nearest tenth, the main absolute deviation of the data set is 320.6.