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 1.7 1.7 7.0 7.0 11.8

Answer 1

To find the mean absolute deviation, follow these steps:

1. Find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.5

2. Find the absolute deviation for each data point from the mean:
|8.4 - 9.5| = 1.1
|9.4 - 9.5| = 0.1
|14.2 - 9.5| = 4.7
|5.6 - 9.5| = 3.9
|8.3 - 9.5| = 1.2
|9.0 - 9.5| = 0.5
|10.2 - 9.5| = 0.7

3. Find the mean of the absolute deviations:
(1.1 + 0.1 + 4.7 + 3.9 + 1.2 + 0.5 + 0.7) / 7 = 2.0

Therefore, the mean absolute deviation of the dataset is 2.0.