Determine the mean absolute deviation of the following dataset. Round your answer to the nearest tenth. {134,138,150,155,158,165} (1 point) Responses 11.2 11.2 56 56 9.3 9.3 150
Wrong
still wrong Determine the mean absolute deviation of the following dataset. Round your answer to the nearest tenth. {134,138,150,155,158,165} (1 point) Responses 11.2 11.2 56 56 9.3 9.3 150
The mean absolute deviation is calculated by finding the average of the absolute differences between each data point and the mean of the dataset.
First, find the mean of the dataset:
(134 + 138 + 150 + 155 + 158 + 165) / 6 = 145
Next, find the absolute differences between each data point and the mean:
|134 - 145| = 11
|138 - 145| = 7
|150 - 145| = 5
|155 - 145| = 10
|158 - 145| = 13
|165 - 145| = 20
Now, find the average of these absolute differences:
(11 + 7 + 5 + 10 + 13 + 20) / 6 = 8.3
So, the mean absolute deviation of the dataset {134,138,150,155,158,165} is 8.3 (rounded to the nearest tenth).
Apologies for the error. Let's recalculate the mean absolute deviation.
First, let's find the mean of the dataset:
(134 + 138 + 150 + 155 + 158 + 165) / 6 = 140
Next, find the absolute differences between each data point and the mean:
|134 - 140| = 6
|138 - 140| = 2
|150 - 140| = 10
|155 - 140| = 15
|158 - 140| = 18
|165 - 140| = 25
Now, find the average of these absolute differences:
(6 + 2 + 10 + 15 + 18 + 25) / 6 = 12.7
Therefore, the correct mean absolute deviation of the dataset {134, 138, 150, 155, 158, 165} is 12.7 (rounded to the nearest tenth).
Apologies for the mistakes in the previous responses. Let's calculate the mean absolute deviation correctly.
First, let's find the mean of the dataset:
(134 + 138 + 150 + 155 + 158 + 165) / 6 = 140
Next, find the absolute differences between each data point and the mean:
|134 - 140| = 6
|138 - 140| = 2
|150 - 140| = 10
|155 - 140| = 15
|158 - 140| = 18
|165 - 140| = 25
Now, find the average of these absolute differences:
(6 + 2 + 10 + 15 + 18 + 25) / 6 = 11
Therefore, the correct mean absolute deviation of the dataset {134, 138, 150, 155, 158, 165} is 11 (rounded to the nearest tenth).