Question

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

Answer 1

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.