Find the mean deviation about the median for the data in Exercises.
36, 72, 46, 42, 60, 45, 53, 46, 51, 49
Here the number of observations is 10 which is even. Arranging the data into ascending order, we have 36, 42, 45, 46, 46, 49, 51, 53, 60, 72.
Now, Median
The absolute values of the respective deviations from the median, i.e., |xi – M| are
11.5, 5.5, 2.5, 1.5, 1.5, 1.5, 3.5, 5.5, 12.5, 24.5
Therefore
And
Hence, the mean deviation about the median for the given data is 7.