determine the mean absolute deviation of the following dataset. round your answer to the nearest tenth.
(134, 138, 150,155, 158, 165)
To calculate the mean absolute deviation, we first need to find the mean of the dataset:
Mean = (134 + 138 + 150 + 155 + 158 + 165) / 6
Mean = 900 / 6
Mean = 150
Next, we find the absolute deviation for each data point from the mean:
|134 - 150| = 16
|138 - 150| = 12
|150 - 150| = 0
|155 - 150| = 5
|158 - 150| = 8
|165 - 150| = 15
Now, we calculate the average of these absolute deviations:
(16 + 12 + 0 + 5 + 8 + 15) / 6
56 / 6
Mean Absolute Deviation = 9.3
Therefore, the mean absolute deviation of the dataset is 9.3.