Calculate the mean deviation about median for the following data
Xi39101213fi34524
2.27
The observations are already in ascending order.
Let's calculate the cumulative frequencies
Xi39101213fi34524c.f.37121418
Median of the observations would be average of 9th and 10th readings =9th term+10th term2=10+102=10
Let's calculate fi|xi−M| for given observations.
|xi−M|71023fi34524fi|xi−M|2140412
Mean deviation about median=M.D(M)=∑ni=1fi|xi−M|∑ni=1fi
=21+4+0+4+1218
=4118=2.278 ∴M.D(M)=2.278.