Find the mean absolute deviation of the following dataset.
{21,25,25,26,26,27,28,30}
To find the mean absolute deviation, we first need to find the mean of the dataset.
Mean = (21 + 25 + 25 + 26 + 26 + 27 + 28 + 30) / 8
Mean = 212 / 8
Mean = 26.5
Next, we find the absolute deviations of each data point from the mean:
|21 - 26.5| = 5.5
|25 - 26.5| = 1.5
|25 - 26.5| = 1.5
|26 - 26.5| = 0.5
|26 - 26.5| = 0.5
|27 - 26.5| = 0.5
|28 - 26.5| = 1.5
|30 - 26.5| = 3.5
Now, we find the mean of these absolute deviations:
Mean absolute deviation = (5.5 + 1.5 + 1.5 + 0.5 + 0.5 + 0.5 + 1.5 + 3.5) / 8
Mean absolute deviation = 15.5 / 8
Mean absolute deviation = 1.9375
Therefore, the mean absolute deviation of the dataset is 1.9375.