Answer:
The MAD is .8.
Explanation:
MAD stands for Mean Absolute Deviation, which is the avg distance between each data value and the mean. Let's start by calculating the mean.
Mean = sum of values (ratings) / total number of values (frequency)
= 1 + 3 + 3 + 4 + 4 / 1 + 2 +2
= 3
Next let's calculate each of the distances (absolute value) from the mean, then take the average!
1 - 3 = 2 (absolute value)
3 - 3 = 0
3 - 3 = 0
4 - 3 = 1
4 - 3 = 1
Let's now take the average of the distances.
Mean = sum of distances / total number of values (frequency)
= 2 + 0 + 0 + 1 + 1 / 1 + 2 + 2
= .8
The MAD is .8.