Question

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

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

Answer 1

wrong

Answer 2

wrong both wrong

Answer 3

First, let's find the mean of the dataset:

(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 319.3

Next, we find the absolute deviations from the mean for each data point:

|204 - 319.3| = 115.3
|211 - 319.3| = 108.3
|216 - 319.3| = 103.3
|300 - 319.3| = 19.3
|426 - 319.3| = 106.7
|567 - 319.3| = 247.7
|680 - 319.3| = 360.7

Now, find the mean of these absolute deviations:

(115.3 + 108.3 + 103.3 + 19.3 + 106.7 + 247.7 + 360.7) / 7 ≈ 152.0

Therefore, the mean absolute deviation of the dataset is 152.0.

Answer 4

I apologize for the mistake. Let's recalculate the mean absolute deviation of the dataset.

First, let's find the mean of the dataset:

(204 + 211 + 216 + 300 + 426 + 567 + 680) / 7 = 323.71

Next, we find the absolute deviations from the mean for each data point:

|204 - 323.71| = 119.71
|211 - 323.71| = 112.71
|216 - 323.71| = 107.71
|300 - 323.71| = 23.71
|426 - 323.71| = 102.29
|567 - 323.71| = 243.29
|680 - 323.71| = 356.29

Now, find the mean of these absolute deviations:

(119.71 + 112.71 + 107.71 + 23.71 + 102.29 + 243.29 + 356.29) / 7 ≈ 157.9

Therefore, the mean absolute deviation of the dataset is 157.9.