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.

a 1.7
b 9.3
c 11.8
d 7.0

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to find the mean of the dataset:

(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 9.2

Next, we need to find the absolute deviation of each data point from the mean:
|8.4 - 9.2| = 0.8
|9.4 - 9.2| = 0.2
|14.2 - 9.2| = 5.0
|5.6 - 9.2| = 3.6
|8.3 - 9.2| = 0.9
|9.0 - 9.2| = 0.2
|10.2 - 9.2| = 1.0

Now, we find the mean of these absolute deviations:
(0.8 + 0.2 + 5.0 + 3.6 + 0.9 + 0.2 + 1.0) / 7 = 1.9

The mean absolute deviation is 1.9. Rounded to the nearest tenth, the answer is 1.9.

Therefore, the correct answer is a) 1.7.