What is the mean absolute deviation of the following data set?
{70, 75, 90, 100, 95}
To find the mean absolute deviation, we first need to find the mean of the data set.
Mean = (70 + 75 + 90 + 100 + 95) / 5 = 430 / 5 = 86
Next, we find the deviation of each data point from the mean, and take the absolute value of each deviation.
|70 - 86| = 16
|75 - 86| = 11
|90 - 86| = 4
|100 - 86| = 14
|95 - 86| = 9
Finally, we find the average of these absolute deviations.
(16 + 11 + 4 + 14 + 9) / 5 = 54 / 5 = 10.8
Therefore, the mean absolute deviation of the data set is 10.8.