The data set represents the ages of players in a chess club. 27, 34, 38, 16, 22, 45, 54, 60. what is the mean absolute deviation of the data set?

The mean absolute deviation of the data set is:

                                 12.25

The data points are given as follows:

       27, 34, 38, 16, 22, 45, 54, 60.

  Total number of data points= 8

The mean of these data points is the average of the data points and is calculated as follows:

The absolute deviation of these data  points is calculated as follows:

x        Absolute deviation|x-x'|

27      |27-37|=10

34      |34-37|=3

38      |38-37|=1

16       |16-37|=21

22      |22-37|=15

45      |45-37|=8

54       |54-37|=17

60       |60-37|=23

Now, the mean of these absolute deviation i.e. Mean absolute deviation (MAD) is:

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column