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Question -

The median of the distribution given below is 14.4. Find the values of x and y, if the total frequency is 20.



Answer -


It is given that n = 20
So, 10 + x + y – 20, i.e., x+y= 10 …(i)
It is also given that median = 14.4
Which lies in the class interval 12-18
So, l = 12, f= 5, cf = 4 + x, h = 6
Using the formula,

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