The following data shows the weight, in pounds, of 6 boxes:

5, 3, 3, 4, 5, 4

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? (1 point)

1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds

0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds

0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.

5 - 4 = 1

3 - 4 = 1

4 - 4 = 0

5 - 4 = 1

4 - 4 = 0

Now find the mean of those numbers.

1 + 1 + 1 + 0 + 1 + 0 = 4

4/6 = 0.7

So now we know the answer is either B or D.

B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound

D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

The answer is D. Let me know if you don't understand that.

Hope this helps! :)

-Peredhel

londonsbrok londonsbrok · Answer 2 · 2021-04-27T15:24:45+02:00

londonsbrok londonsbrok

27-04-2021

Answer:

0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds

Step-by-step explanation:

The mean is 4 since adding everything up makes 24 and dividing that by the 6 boxes is 4, subtracting everything by 4 (ignoring if its negative) adds up to 0.7

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