What is the mean absolute deviation if the mean is 10 and the majority of the data falls between 5 and 15?

The process for calculation of mean absolute deviation is listed below:

Step-by-step explanation:

let us take 5 data between 5 and 15 ;

    5, 9, 10, 12, 14

here the mean is = = 10

the deviation of each data from is (take absolute value i.e non negative) :

                      5-10 = 5

                      9-10 = 1

                      10-10 =0

                      12-10 = 2

                      14-10= 4

now adding the differences form mean:

                   5+1+0+2+4 = 12

Mean absolute deviation is: = 2.4

Hence the MAD for our assumed data between 5 and 15 with mean 10 is 2.4