Q:

The following data shows the weight, in pounds, of 5 boxes: 3, 1, 2, 2, 2 What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box? A)0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds B)0.8 pound; on average, the weight of a box varies 0.8 pounds from the mean of 2 pounds C)0.4 pound; the weight of 50% of the boxes is greater than 0.4 pound D)0.8 pound; the weight of 50% of the boxes is greater than 0.8 pound

Accepted Solution

A:
the mean = (3+1+2+2+2) / 5  = 10/5 = 2

subtract mean from each of the values
gives 1 -1 0 0 0

MAD = (1^1 + (-1)^2) / 5 = 2/5 = 0.4
A is the correct choice.