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Use the empirical relationship and find the value of mode when the value of median and mean are 6 and 7 respectively.


Options:
A .   4
B .   3
C .   6
D .   7
Answer: Option A
:
A
We know that,
3 Median = Mode + 2 Mean 
or 
Mode = 3 Median - 2 Mean 
          =  3×62×7
          = 18 - 14
          = 4 
Therefore, mode = 4 

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