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Q.

The Median of the following discrete series is 

xi 3658127
fi524676

 

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Detailed Solution

Computation of median 

             xi                   fi              c.f. 
                3                   5                5   
               5                   4                9
               6                   2                11
                7                     6                17
                8                    6                17
                8                   6                23 
                12                   7               30
              Total              N=30

We have   N=30N2=15

Cumulative frequency just greater than N /2  is  17. 

   The corresponding value of x is 7 

Hence, Median = 7. 

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The Median of the following discrete series is xi 3658127fi524676