Question

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 1

$\Rightarrow$ The given six numbers are $7,8,3,5,9$ and $5$.

$\Rightarrow$ Arrange the six numbers in order $3,5,5,7,8,9.$

$\Rightarrow$ We have three more numbers to insert into the list, and the median will be the highest $5$(and $5$ lowest) number on the list. If the three numbers are greater than $9,$ the median will be the highest it can possible be.

$\therefore$ The median is the $5th$ item of data which is $8.$

$\therefore$ $Median=8$