Question

What is the MAD of these numbers 1,1,4,5,5,5,6,7,7,10,10?
Please give an explanation

Answer 1

2.2314

Explanation:

To find the mean absolute deviation of the data, start by finding the mean of the data set.

1+1+4+5+5+5+6+7+7+10+10= 61

61÷11= 5.5-2.5= 2.2

Example:

Find the MAD of 2,4,6,8

Step 1 :

Find the mean of the data :

(2+4+6+8) / 4 = 20/4 = 5

Step 2 :

Find the distance between each data and mean.

Distance between 2 and 5 is 3

Distance between 4 and 5 is 1

Distance between 6 and 5 is 1

Distance between 8 and 5 is 3

Step 3 :

Add all the distances :

3+1+1+3 = 8

Step 4 :

Divide it by the number of data :

8 / 4 = 2