Answer:
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
