Find the mean absolute deviation of the following dataset.
To find the mean absolute deviation, we first need to calculate the mean of the dataset and then find the absolute deviation for each data point from the mean.
Dataset: 10, 15, 20, 25, 30
Mean = (10 + 15 + 20 + 25 + 30) / 5
Mean = 100 / 5
Mean = 20
Absolute deviations:
|10 - 20| = 10
|15 - 20| = 5
|20 - 20| = 0
|25 - 20| = 5
|30 - 20| = 10
Now, we calculate the mean of these absolute deviations:
(10 + 5 + 0 + 5 + 10) / 5
= 30 / 5
= 6
Therefore, the mean absolute deviation of the dataset is 6.