find the mean absolute deviation of the following dataset.
(21, 25, 25, 26, 26, 27, 28, 30)
The mean absolute deviation is
2.375.
To find the mean absolute deviation, first calculate the mean of the dataset:
(21 + 25 + 25 + 26 + 26 + 27 + 28 + 30) / 8 = 26
Next, calculate the absolute deviations of each data point from the mean:
|21 - 26| = 5
|25 - 26| = 1
|25 - 26| = 1
|26 - 26| = 0
|26 - 26| = 0
|27 - 26| = 1
|28 - 26| = 2
|30 - 26| = 4
Add up all the absolute deviations:
5 + 1 + 1 + 0 + 0 + 1 + 2 + 4 = 14
Divide the sum of absolute deviations by the number of data points:
14 / 8 = 1.75
Therefore, the mean absolute deviation is 1.75.