Question

Question 11(Multiple Choice Worth 1 points)

(08.06 MC)

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

Answer 1

c is the answer

Explanation:

Answer 2

Explanation:

First put the numbers from least to greatest: 1, 2, 2, 2, 3 2 is the mean.

Then you determine the distance each data value is from the mean.

1, 2, 2, 2, 3

1, 0, 0, 0, 1

Calculate the mean of the distances: 1 + 0 + 0 + 0 + 1 = 2

Then divide: 2 divided by 5 = 0.4

So your answer is 0.4 pound; on average, the weight of a box varies 0.4 pounds from the mean of 2 pounds