Question

find the mean absolute deviation of the following dataset.
(21, 25, 25, 26, 26, 27, 28, 30)
The mean absolute deviation is

Answer 1

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.