Question

Kelly and Daniel surveyed 6 of their friends to find the number of pets in each of their households. They recorded the results from each home in a list. 4, 1, 2, 1, 0, 1 What is the mean absolute deviation of this data set? Enter your answer in the box.

Answer 1

67

Explanation:

Answer 2

The mean absolute deviation is 1

Step-by-step equation =

Take all of the numbers and add them together.

4+1+2+1+0+1= 9

Then divide by how many numbers there are. In this word problem its 6.

Divide 9 by 6.

9 ÷ 6 = 1.5

So 1.5 would be our mean.

To find the mean absolute deviation subtract our mean and our original numbers.

1.5 - 4 = 2.5

1.5 - 1 = 0.5

1.5 - 2 = -0.5

1.5 - 1 = 0.5

1.5 - 0 = 1.5

1.5 - 1 = 0.5

Add all of those numbers together.

2.5 + 0.5 + 0.5 + 0.5 + 1.5 + 0.5 = 6

Even though one of the numbers was a negative answer we add it as a positive because the mean absolute deviation can never be negative

Divide by the amount of numbers you added.

6 ÷ 6 = 1

So the mean absolute deviation is 1

I also took the test that had 10 questions and got a 100

I'm pretty late to answer but hope this helps for others in the future

I learned this like a week or less ago so my explanation might not make the most sense.