Question

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?

0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds
0.8 pound; on average, the weight of a box varies 0.8 pounds from the mean of 2 pounds
0.4 pound; the weight of 50% of the boxes is greater than 0.4 pound
0.8 pound; the weight of 50% of the boxes is greater than 0.8 pound

Answer 1

The mean absolute deviation of a set of data is the average distance between each data value and the mean. 1. Find the mean. 2. Find the distance between each data value and the mean.

Answer 2

So first, what is the mean?

Answer 3

2

Answer 4

the mean is 2.