Q. 35.0( 1 Vote )

Consider the following distribution:


The Sum of the lower limits of the median class and the modal class is
A. 15

B. 25

C. 30

D. 35

Answer :

We need to find – (1) Median class


(2) Modal class


First we’ll find (1) Median class.


To find median class,


Assume Σfi = N = Sum of frequencies,


fi = frequency of class intervals


and Cf = cumulative frequency


Lets form a table.



So, N = 66


N/2 = 66/2 = 33


The cumulative frequency just greater than (N/2 = ) 33 is 37, so the corresponding median class is 10 - 15.


median class is 10 - 15.


To find (2) Modal class,


Here, the maximum class frequency is 20.


The class corresponding to this frequency is the modal class. modal class = 15 - 20


Lower limit of median = 10 and lower limit of mode = 15


Sum = 10 + 15 = 25

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