100 points!

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?

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

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

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

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

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Hi!

To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.

5 + 3 + 3 + 4 + 5 + 4 = 24

24/6 = 4

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

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

Hope this helps! :)

-Peredhel

Answer 2

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds

Option D is the correct answer.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

To find the mean absolute deviation, we first need to find the mean weight of the boxes:

Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds

Next,

We calculate the absolute deviations from the mean for each weight:

So,

|5-4| = 1

|3-4| = 1

|3-4| = 1

|4-4| = 0

|5-4| = 1

|4-4| = 0

Then,

We find the mean of the absolute deviations:

(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7

This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.

Therefore,

The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).

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Answer:

hello :

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Answer:

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i may be wrong. i am sorry if i am worong

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