Find the mean absolute deviation of the following dataset.
{21,25, 25, 26, 26, 27, 28, 30}
(1 point)
The mean absolute deviation is
2.25.
To find the mean absolute deviation, first find the mean of the dataset:
Mean = (21 + 25 + 25 + 26 + 26 + 27 + 28 + 30) / 8 = 209 / 8 = 26.125
Next, find the absolute deviation for each data point from the mean:
|21 - 26.125| = 5.125
|25 - 26.125| = 1.125
|25 - 26.125| = 1.125
|26 - 26.125| = 0.125
|26 - 26.125| = 0.125
|27 - 26.125| = 0.875
|28 - 26.125| = 1.875
|30 - 26.125| = 3.875
Now, find the average of these absolute deviations:
(5.125 + 1.125 + 1.125 + 0.125 + 0.125 + 0.875 + 1.875 + 3.875) / 8 = 14.25 / 8 = 2.25
Therefore, the mean absolute deviation of the dataset is 2.25.