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

Question

Mathematics

Dean Moore

31 July, 18:16

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

+4

Answers (1)

Know the Answer?

Francesca Brock · Answer 1

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.