Question

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

7.0
7.0

9.3
9.3

1.7
1.7

11.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 = 9.3

2. Find 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

3. Find the mean of the absolute deviations:
(0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9) / 7 = 1.7

Therefore, the mean absolute deviation of the dataset is 1.7. Rounding to the nearest tenth gives 1.7.

So the correct response is: 1.7.