What is the mean absolute deviation for this data set? Below is a data set.
{1, 2, 3, 4, 5}
To find the mean absolute deviation for this data set, we first need to find the mean (average) of the data set.
1 + 2 + 3 + 4 + 5 = 15
Next, we need to find the deviation of each value from the mean. The deviations are:
1 - 3 = -2
2 - 3 = -1
3 - 3 = 0
4 - 3 = 1
5 - 3 = 2
Next, we need to find the absolute value of each deviation. The absolute values are:
|-2| = 2
|-1| = 1
|0| = 0
|1| = 1
|2| = 2
Finally, we calculate the mean of the absolute deviations:
(2 + 1 + 0 + 1 + 2) / 5 = 6 / 5 = 1.2
Therefore, the mean absolute deviation for this data set is 1.2.