Q. 154.2( 5 Votes )

If the median of the distribution given below is 28.5, find the values of x and y.


Answer :


Given Median =28.5


Then, median Class = 20 – 30


the lower limit (l) = 20


cumulative frequency of the class preceding 20 – 30 (cf) = 5 + x


frequency of the median class 20 – 30 = 20,


class size (h) = 10


Total frequencies (n) = 60


So, 45 + x + y = 60


x + y = 60 – 45


x + y = 15 …(i)



Using the formula,, we have




8.5 × 2 = 25-x


17 = 25 – x


x = 8


Putting the value of x in eq. (i), we get


8 + y = 15


y = 15 – 8


y = 7


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