Q. 114.0( 46 Votes )

Find the mean deviation about median for the following data:


Answer :

We make the following table and add other columns after calculations.


The class interval containing or 25th item is 20-30. Therefore, 20-30 is the median class.


Now, we know that


Median


Here, l = 20, C = 14, f = 14, h = 10 and N = 50


Therefore, Median


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


Therefore, we have


And


Hence, the mean deviation about the median for the given data is 10.34.


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