Find the mean absolute deviation of the following dataset. {21,25,25,26,26,27,28,30}(1 point) The mean absolute deviation is ?.
To find the mean absolute deviation, we first need to calculate the mean of the dataset:
Mean = (21 + 25 + 25 + 26 + 26 + 27 + 28 + 30) / 8
Mean = 212 / 8
Mean = 26.5
Next, we calculate the absolute deviations from the mean for each data point:
|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 calculate 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 = 14.5 / 8
Mean absolute deviation = 1.8125
Therefore, the mean absolute deviation of the dataset {21, 25, 25, 26, 26, 27, 28, 30} is 1.8125.