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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, calculate the mean of the dataset:

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

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

Now, calculate the mean absolute deviation by finding the mean of these absolute deviations:
(1.0 + 0.0 + 4.8 + 3.8 + 1.1 + 0.4 + 0.8) / 7 = 1.8

Therefore, the mean absolute deviation of the dataset is 1.8.

Answer 2

wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the error. Let's recalculate the mean absolute deviation of the dataset.

First, calculate the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 8.8

Next, calculate the absolute deviations from the mean for each number in the dataset:
|8.4 - 8.8| = 0.4
|9.4 - 8.8| = 0.6
|14.2 - 8.8| = 5.4
|5.6 - 8.8| = 3.2
|8.3 - 8.8| = 0.5
|9.0 - 8.8| = 0.2
|10.2 - 8.8| = 1.4

Now, calculate the mean absolute deviation by finding the mean of these absolute deviations:
(0.4 + 0.6 + 5.4 + 3.2 + 0.5 + 0.2 + 1.4) / 7 ≈ 1.9

Therefore, rounding to the nearest tenth, the mean absolute deviation of the dataset is approximately 1.9.

Answer 4

also wrong

Answer 5

correct

Answer 6

First, calculate the mean of the dataset:

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

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

Now, calculate the mean absolute deviation by finding the mean of these absolute deviations:
(1.0 + 0.0 + 4.8 + 3.8 + 1.1 + 0.4 + 0.8) / 7 = 1.8

Therefore, the mean absolute deviation of the dataset is 1.8.

Answer 7

I meant

Apologies for the error. Let's recalculate the mean absolute deviation of the dataset.
First, calculate the mean of the dataset:
(8.4 + 9.4 + 14.2 + 5.6 + 8.3 + 9.0 + 10.2) / 7 = 8.8

Next, calculate the absolute deviations from the mean for each number in the dataset:
|8.4 - 8.8| = 0.4
|9.4 - 8.8| = 0.6
|14.2 - 8.8| = 5.4
|5.6 - 8.8| = 3.2
|8.3 - 8.8| = 0.5
|9.0 - 8.8| = 0.2
|10.2 - 8.8| = 1.4

Now, calculate the mean absolute deviation by finding the mean of these absolute deviations:
(0.4 + 0.6 + 5.4 + 3.2 + 0.5 + 0.2 + 1.4) / 7 ≈ 1.9

Therefore, rounding to the nearest tenth, the mean absolute deviation of the dataset is approximately 1.9.