Find the main absolute deviation of the following data set round your answer to the nearest 10th

204, 211, 216, 300, 426, 567, 680

1 answer

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.