Question

The mean, median and mode of four numbers is $8$. The smallest number is $7$. Find the numbers.

Answer 1

Given the smallest number $=7$

$\Rightarrow 8$ should occur atleast two times as it is a mode

Let the numbers be $7,8,8,x$

Given mean $=8$

$\Rightarrow \frac{7+8+8+x}{4}=8$

$\Rightarrow x=9$

$\Rightarrow$ $4$ numbers are : $7,8,8,9$