Question

The data below shows the number of hours mrs.Diaz volunteered each month for 8 months. 20,12,27,23,18,20,30,26 the mean of the data is 22 hours what is the mean absolute deveation data

Answer 1

Given :

Data given : 20 , 12 , 27 , 23 , 18 , 20 , 30 , 26 .

Mean of the data , m = 22 .

To Find :

The mean absolute deviation of given data .

Solution :

We know , mean deviation(M.D) across mean is given by :

`M.D =\frac{\text{Sum of absolute value of difference of observation by mean}}{\text{Total number of observations }}\\\\M.D=(|20-22|+|12-22|+|27-22|+|23-22|+|18-22|+|20-22|+|30-22|+|26-2|)/(8)\\\\M.D=(2+10+5+1+4+2+8+4)/(8)\\\\M.D=4.5`Therefore , the mean absolute deviation is 4.5 .

Hence , this is the required solution .