Find the main absolute deviation of the following data set round your answer to the nearest tenth 204, 211, 216, 300, 426, 567, 680
159.1
151
372
72.3
To find the main absolute deviation of a data set, we first need to find the mean of the data set.
Mean = (204 + 211 + 216 + 300 + 426 + 567 + 680) / 7
Mean = 260.1
Next, we calculate the absolute deviations of each data point from the mean:
|204-260.1| = 56.1
|211-260.1| = 49.1
|216-260.1| = 44.1
|300-260.1| = 39.9
|426-260.1| = 165.9
|567-260.1| = 306.9
|680-260.1| = 419.9
Now, we find the main absolute deviation by finding the largest of these absolute deviations:
Main absolute deviation = 419.9
Therefore, the main absolute deviation of the data set is 419.9 rounded to the nearest tenth.