Q. 305.0( 5 Votes )

If mode of a seri

Answer :

Given, mode exceeds mean by 12 i.e. mode - mean = 12 …[1]


We know that empirical relation between mean, median and mode is


Mode = 3 Median - 2 Mean


3 Mode - 2 Mode = 3 Median - 2 Mean


3 Mode - 3 Median = 2 Mode - 2 Mean


3(Mode - Median) = 2(Mode - Mean)


From [1] we have


3(Mode - Median) = 2(12)


Mode - Median = 8


i.e. Mode exceeds Median by 8.

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