Question

The median of a set of $10$ consecutive integers is $3.5$. What is the greatest of these $10$ integers?

• A. $5$
• B. $6$
• C. $7$
• D. $8$

Answer 1

The correct option is D $8$

$\Rightarrow$ Here, $n=10$ and $M=3.5$

$\Rightarrow$ The greatest integer $=M+\frac{n-1}{2}$

$=3.5+\frac{10-1}{2}$

$=3.5+\frac{9}{2}$

$=3.5+4.5$

$=8$

$\therefore$ The greatest number in $10$ consecutive integers is $8$.