Write the median class of the following distribution:


Classes:



0-10



10-20



20-30



30-40



40-50



50-60



60-70



Frequency:



4



4



8



10



12



8



4


First, we prepare the cumulative frequency table for above data


Class



Frequency



Cumulative Frequency



0-10


10-20


20-30


30-40


40-50


50-60


60-70



4


4


8


10


12


8


4



4


8


16


26


38


46


50




N = 50-




We know that median class of a data is the class-interval corresponding to cumulative frequency just greater than


Where,


N = sum of all frequencies


As N = 25 therefore


And


Cumulative frequency just greater than 25 is 26 which lies corresponding to class 30-40


Hence, 30-40 is median class.


12