Q. 194.5( 46 Votes )

Six numbers from a list of nine integers are 7, 8, 3, 5, 9 and 5. Find the largest possible value of the median of all nine numbers in this list.

Answer :

No of terms, n = 9

As, n is odd


Median is term.


Median is 5th term


Let's first arrange given no in ascending order.


3, 5, 5, 7, 8, 9


Clearly, 9 is not possible as it is already at 6th place and adding any term or terms can only shift its position ahead.


Also, 8 is possible if other three terms are greater than 8.


Therefore, 8 is the largest value possible.


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