Answer :
[tex]\bar{x}=\frac{\sum ^{\infty}_{n\mathop=0}xi}{n}[/tex]
The definition of average allows us to find the missing value.
the information given is
[tex]\begin{gathered} \bar{x}=-3.65 \\ x_1=-3.2 \\ x_2=-3.2 \\ x_3=-3.2 \\ x_4=-3.2 \\ x_5=-3.2 \\ x_6=\text{?} \\ n=6 \end{gathered}[/tex]replace in the formula knowin that all the -3.2 can be written as 5*(-3.2)
[tex]-3.65=\frac{5\cdot(-3.2)+x_6}{6}[/tex]solve for x6
[tex]\begin{gathered} -3.65\cdot6=(5\cdot-3.2)+x_6 \\ -21.9=-16+x_6 \\ -21.9+16=x_6 \\ x_6=-5.9 \end{gathered}[/tex]Chech if answer is correct
[tex]\begin{gathered} -3.65=\frac{5\cdot(-3.2)-5.9}{6} \\ -3.65=-3.65 \end{gathered}[/tex]answer= the sixth number is -5.9