The main of the following data set is eight Find the main absolute deviation of the dataset
5.8. ,Seven, 8.1, 9.2 , 9.9
To find the mean absolute deviation of a dataset, we first need to find the mean of the dataset.
Mean = (5.8 + 7 + 8.1 + 9.2 + 9.9) / 5
Mean = 39 / 5
Mean = 7.8
Next, we find the absolute deviation of each data point from the mean:
|5.8 - 7.8| = 2
|7 - 7.8| = 0.8
|8.1 - 7.8| = 0.3
|9.2 - 7.8| = 1.4
|9.9 - 7.8| = 2.1
Now, we find the mean of these absolute deviations:
(2 + 0.8 + 0.3 + 1.4 + 2.1) / 5
= 6.6 / 5
= 1.32
Therefore, the mean absolute deviation of the dataset is 1.32.