Find the mean deviation about the median for the data in Exercises.

Question

Philoid · Accepted Answer

The given observations are already in ascending order. We make a table for the given data, as shown below, adding other columns after calculations.

Now, N = 26 which is even.

Median is the mean of 13^th and 14^th observations. Both these observations lie in the cumulative frequency 14, for which the corresponding observation is 7.

Therefore, Median

So, we can calculate the absolute values of the deviations from the median, i.e., |x_i – M|, as shown in the table.

Thus, we have

And

Hence, the mean deviation about the median for the given data is 3.23.