Given :
Two mean absolute value deviation 15.2 and 10.9 .
To Find :
Which mean absolute value deviation represents more consistency 15.2 or 10.9 .
Solution :
First we should know what is mean absolute deviation ( M.A.D) is :
M.A.D of a data set is the average distance between each data value and the mean .
It also describe the variation in a data set .
Also , high variability means the data is spread out and low variability means that data is clustered .
So, low variation means more consistency and vice-versa .
Therefore , 10.9 M.A.D is more consistent .
Hence , this is the required solution .