Answer:
1.36
Explanation:
1. Find the mean (average) of the data set:
(3 + 1 + 4 + 4 + 4 + 1 + 1 + 2 + 1 + 5) / 10 = 26 / 10 = 2.6
2. Subtract the mean from each data point and take the absolute value of each difference.
|3 - 2.6| = 0.4
|1 - 2.6| = 1.6
|4 - 2.6| = 1.4
|4 - 2.6| = 1.4
|4 - 2.6| = 1.4
|1 - 2.6| = 1.6
|1 - 2.6| = 1.6
|2 - 2.6| = 0.6
|1 - 2.6| = 1.6
|5 - 2.6| = 2.4
Find the mean of these absolute differences:
(0.4 + 1.6 + 1.4 + 1.4 + 1.4 + 1.6 + 1.6 + 0.6 + 1.6 + 2.4) / 10 = 13.6 / 10 = 1.36
So, the mean absolute deviation (MAD) of the given data set is 1.36.