Q. 284.0( 4 Votes )

If the difference

Answer :

Difference of mode and median, mode - median = 24 …[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(24) = 2(Mode - Mean)


Mode - Mean = 36 …[2]


on substracting [1] from [2]


Mode - Mean - (Mode - Median) = 36 - 24


Mode - Mean - Mode + Median = 8


Median - Mode = 8


Hence, difference between median and mode is 8.

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