Answer:
3
Explanation:
To find the absolute deviation, we need to find the difference between each data point and the mean of the data set, take the absolute value of each difference, and then calculate the average of those absolute differences.
First, let's find the mean of the data set:
(10 + 2 + 6 + 12 + 6 + 10 + 4 + 12) / 8 = 8
The mean is 8.
Next, we find the difference between each data point and the mean:
|10 - 8| = 2
|2 - 8| = 6
|6 - 8| = 2
|12 - 8| = 4
|6 - 8| = 2
|10 - 8| = 2
|4 - 8| = 4
|12 - 8| = 4
Now we take the average of those absolute differences:
(2 + 6 + 2 + 4 + 2 + 2 + 4 + 4) / 8 = 3
The absolute deviation of the data set is 3.