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

204, 211, 216, 300, 426, 567, 680
159.1
151
372
72.3

1 answer

To find the mean absolute deviation, we first find the mean of the data set:

(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 311

Next, we find the absolute deviation of each data point from the mean:

|204 - 311| = 107
|211 - 311| = 100
|216 - 311| = 95
|300 - 311| = 11
|426 - 311| = 115
|567 - 311| = 256
|680 - 311| = 369

Now, we find the mean of these absolute deviations:

(107 + 100 + 95 + 11 + 115 + 256 + 369) / 7 = 155.4

Rounded to the nearest 10th, the main absolute deviation of the data set is 155.4.