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

1.7
1.7

7.0
7.0

9.3
9.3

11.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean absolute deviation is calculated by finding the mean of the absolute differences between each data point and the mean of the dataset.

First, find the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.4

Next, find the absolute differences between each data point and the mean:
|8.4 - 9.4| = 1.0
|9.4 - 9.4| = 0.0
|14.2 - 9.4| = 4.8
|5.6 - 9.4| = 3.8
|8.3 - 9.4| = 1.1
|9.0 - 9.4| = 0.4
|10.2 - 9.4| = 0.8

Find the mean of these absolute differences:
(1.0 + 0.0 + 4.8 + 3.8 + 1.1 + 0.4 + 0.8) / 7 = 1.7

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