Question

How do you find the MAD? The MEAN ABSOLUTE DEVIATION

Answer 1

How to find the MAD (Mean Absolute Deviation):

Let's use these numbers to figure out the MAD:

`5, 2, 1, 3`

1. First thing you want to do is add the numbers together:

`5+2+1+3=11`

2. Second thing you want to do is divide it by 4 because there are 4 numbers in the data set:

`(11)/(4) =2.75`

3. Third thing you want to do is subtract the data set from 2.75:

`5-2.75=2.25\\2.75-2=0.75\\2.75-1=1.75\\3-2.75=0.25`

4. Fourth thing you want to do is add all the differences:

`2.25+0.75+1.75+0.25=5`

5. Last thing you want to do is now divide the sum (5) by 4 again:

`(5)/(4)= 1.25`

So, the answer (MAD) would be 1.25

That's how you find the MAD to any data set in steps.

Hope this helped!

I know I'm 2 years late btw, you've probably already mastered this subject, sorry!

- June 7, 2022 (6/7/22)

Answer 2

Explanation:

Start with the average. (of your data set)

Find how much each data value deviates from the average (difference of average and data value).

Take the absolute value of each difference.

Add all of these absolute values.

Divide by the total number of data values.