Find the mean deviation about the median for the data in Exercises.
36, 72, 46, 42, 60, 45, 53, 46, 51, 49

Question

Find the mean deviation about the median for the data in Exercises.36, 72, 46, 42, 60, 45, 53, 46, 51, 49

Philoid · Accepted Answer

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., |x_i – 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.