Mean Absolute Deviation Quick Check
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Question
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
9.3
9.3
56
56
11.2
11.2
150
150
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page 16
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 = 146
Next, find the absolute differences between each data point and the mean:
|134 - 146| = 12
|138 - 146| = 8
|150 - 146| = 4
|155 - 146| = 9
|158 - 146| = 12
|165 - 146| = 19
Now, find the average of these absolute differences:
(12 + 8 + 4 + 9 + 12 + 19) / 6 = 64 / 6 = 10.7
Rounded to the nearest tenth, the mean absolute deviation of the dataset {134,138,150,155,158,165} is 10.7.
Therefore, the closest answer is:
11.2