find the mean absolute deviation of the following dataset. Round your answer to the nearest tenth

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

the mean absolute deviation is _________

3 answers

170.6

159.1
151
372
72.3

To find the mean absolute deviation of a dataset, we first need to calculate the mean of the dataset, and then find the absolute difference between each data point and the mean.

First, let's find the mean of the dataset:
(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 297.71

Now, let's find the absolute difference between each data point and the mean:
|204 - 297.71| = 93.71
|211 - 297.71| = 86.71
|216 - 297.71| = 81.71
|300 - 297.71| = 2.29
|426 - 297.71| = 128.29
|567 - 297.71| = 269.29
|680 - 297.71| = 382.29

Next, let's calculate the mean of these absolute differences:
(93.71 + 86.71 + 81.71 + 2.29 + 128.29 + 269.29 + 382.29) / 7 = 159.14

Rounded to the nearest tenth, the mean absolute deviation of the dataset is 159.1.