Median for continuous data

 Median for continuous data

As we said in  previous post,We will come with post to find median for continuous data.we seen median for discrete data series.
Now,median for grouped data.let us take the following data.

1) When classes are continuous


Where ,
L=lower limit of median class
f=frequency of median class
N=total frequency
c.f=cumulative frequency of previous class to median class
i=class interval


Here N=39 
N/2=39/2=19.5
Hence cumulative frequency just greater than 19.5 is 24.
Therefore 20-30 is median class.
Here L=20,N=39,c.f=12,i=10-0=0,f=12.
Median=20+(((39/2)-12)/12)×10)
Median=26.5

II)When classes are inclusive

First we will convert classes into continuous type....
For that we will find: (11-10)/2=1/2=0.5
          Add 0.5 to upper limit and and
          Subtract 0.5 from lower limit.
New table:




Here N=39 
          N/2=39/2=19.5
Hence cumulative frequency just greater than 19.5 is 21.
Hence 10.5 -20.5 is median class.
Here L= 10.5 , N=39, c.f =8, f=13, i=10
Median=10.5+(((19.5-8)/13)×10)
Median=19.35

Thanks for reading...

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