What is the mean absolute deviation of the following set of data? 10
20
12
4
18
8
14
18

The mean absolute deviation of the following set of data is 4.5

Step-by-step explanation:

We need to find the mean absolute deviation of the following set of data.

10,20,12,4,18,8,14,18

For finding mean absolute deviation, first we need to find the mean of the given data set.

The formula used to calculate mean is:

Sum of all data points: 10+20+12+4+18+8+14+18 = 104

Number of data points = 8

So, mean is:

Now, we will subtract 13 from the given data points:

10  - 13 = -3

20  - 13 = 7

12  - 13 = -1

4  - 13 = -9

18  -13 = 5

8  - 13 = -5

14  - 13 = 1

18 - 13 = 5

We will take absolute values i.e |-a|=a

So, now the numbers will be:

3,7,1,9,5,5,1,5

We will now find absolute mean deviation by finding mean of newly calculate values

Sum of all data points = 3+7+1+9+5+5+1+5

Number of data points = 8

So, the mean absolute deviation of the following set of data is 4.5