Find the mean deviation about the median for the given data.
xi 15 21 27 30 35 fi 3 5 6 7 8
xi fi e.f |xi−30| fi|xi−30| 15 3 3 15 45 21 5 8 9 45 27 6 14 3 18 30 7 21 0 0 35 8 29 5 40 29 148
N2=292=14.5
The e.f. just greater than 14.5 is 21 and corresponding value of x is 30.
∴ Median = 30
∴ M.D. about median = 1N∑ni=1fi|xi−M|=129×148=5.1