What is the mean absolute deviation of the data set below?
3,1,4,4,4,1,1,2,1,5

1.4

Step-by-step explanation:

Step 1: We have to find the mean of the data set

The mean is the average or the sum of all the numbers divided by the amount of numbers there are.

3 + 1 + 4 + 4 + 4 + 1 + 1 + 2 + 1 + 5 = 26

There are 10 numbers in total so, 26/10 = 2.6

Step 2: We now know the mean so now we have to find the deviation

3 - 2.6, |1 - 2.6|, 4 - 2.6, 4 - 2.6... so on, (Note: this is just finding the distance between the numbers and the mean)

The results are, 0.4 + 1.6 + 1.4 + 1.4 + 1.4 + 1.6 + 1.6 + 0.6 + 1.6 + 2.4

This is equal to 14

Step 3: Lastly, we have to find the mean of the deviations

We know the mean is 14

We have 10 numbers

Therefore, 14/10 = 1.4 is the MAD

c is the answer

step-by-step explanation:

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation: