The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations.

Explanation

Let the remaining two observations be x and y

Therefore, the observations are 6,7,10,12,12,13,x,y


Thus mean `\bar{X}`=`\frac{6+7+10+12+12+13+x+y}{8}=9`


\begin{aligned}
\Rightarrow 60+x+y=12 \\
\Rightarrow x+y=12 \\
...