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

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.

Answer Link

akposevictor akposevictor · Answer 2 · 2022-05-20T11:24:15+02:00

The mean absolute deviation is: 0.4 pound; it means, on average, the weight of 1 box varies from the mean of 2 pounds by 0.4 pounds (Option A).

How to Find the Mean Absolute Deviation of a Data?

First find the mean, then find the average of the distance each data point is from the mean of the data.

Given the data:

3, 1, 2, 2, 2

Mean = (3+1+2+2+2) / 5

Mean = 10/5 = 2

Mean absolute deviation = [(3 - 2) + (1 - 2) + (2 - 2) + (2 - 2) + (2 - 2)] / 5 = Mean Absolute Deviation = 0.4

Therefore, the correct answer is: A.

Learn more about mean absolute deviation on:

https://brainly.com/question/447169

#SPJ2