Find the mean absolute deviation of the following dataset: 8.4, 9.4, 14.2, 5.6, 8.3, 9.0, 10.2. Round the answer to the nearest tenth.(1 point) Responses 9.3 9.3 7.0 7.0 11.8 11.8 1.7

Answer 1

To find the mean absolute deviation, we first need to find the mean of the dataset:

(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 65.1 / 7 = 9.3

Now, we calculate the absolute deviation of each data point from the mean:

|8.4 - 9.3| = 0.9
|9.4 - 9.3| = 0.1
|14.2 - 9.3| = 4.9
|5.6 - 9.3| = 3.7
|8.3 - 9.3| = 1.0
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

Next, find the mean of these absolute deviations:

(0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7 = 11.8 / 7 ≈ 1.7

So, the mean absolute deviation of the dataset is 1.7 (rounded to the nearest tenth).