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)%0D%0AResponses%0D%0A%0D%0A1.7%0D%0A1.7%0D%0A%0D%0A9.3%0D%0A9.3%0D%0A%0D%0A7.0%0D%0A7.0%0D%0A%0D%0A11.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

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

Next, we calculate the absolute deviations from the mean for each number in the dataset:

|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
|9.0 - 9.3| = 0.3
|10.2 - 9.3| = 0.9

Now we find the mean of these absolute deviations:

Mean Absolute Deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1 + 0.3 + 0.9) / 7
Mean Absolute Deviation = 11.8 / 7
Mean Absolute Deviation ≈ 1.7

Therefore, the mean absolute deviation of the dataset is approximately 1.7.