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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the mean absolute deviation, first 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, find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value.

Absolute deviation = |data point - mean|

For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9

Now, find the mean of the absolute deviations.

Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.2

Therefore, the mean absolute deviation of the dataset is approximately 2.2.

Answer 2

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.

Answer 3

[AI-generated answer — Bot GPT 3.5]

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

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 deviation for each data point by subtracting the mean from each data point and taking the absolute value.

Absolute deviation = |data point - mean|

For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9

Now, we find the mean of the absolute deviations.

Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.1

Therefore, the mean absolute deviation of the dataset is approximately 2.1.

Answer 4

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 5

[AI-generated answer — Bot GPT 3.5]

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

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 deviation for each data point by subtracting the mean from each data point and taking the absolute value.

Absolute deviation = |data point - mean|

For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9

Now, we find the mean of the absolute deviations.

Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.1

Therefore, the mean absolute deviation of the dataset is approximately 2.1.

Answer 6

wrong pal

Answer 7

[AI-generated answer — Bot GPT 3.5]

Apologies for the confusion. Let's recalculate the mean and mean absolute deviation.

First, let's 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, let's find the absolute deviation for each data point by subtracting the mean from each data point and taking the absolute value:

Absolute deviation = |data point - mean|

For 8.4: |8.4 - 9.3| = 0.9
For 9.4: |9.4 - 9.3| = 0.1
For 14.2: |14.2 - 9.3| = 4.9
For 5.6: |5.6 - 9.3| = 3.7
For 8.3: |8.3 - 9.3| = 1.0
For 9.0: |9.0 - 9.3| = 0.3
For 10.2: |10.2 - 9.3| = 0.9

Now, let's find the mean of the absolute deviations:

Mean absolute deviation = (0.9 + 0.1 + 4.9 + 3.7 + 1.0 + 0.3 + 0.9)/7
Mean absolute deviation ≈ 2.3

Therefore, the mean absolute deviation of the dataset is approximately 2.3.