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 5^{th} 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 6^{th} 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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PREVIOUSIf the mean of a set of observations x1, x2, ...., ...., x10 is 20. Find the mean of x1 + 4, x2 + 8, x3 + 12, .... ...., x10 + 40.NEXTThe median of a set of 9 distinct observations is 20. If each of the largest 4 observations of the set is increased by 2, find the median of the resulting set.

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