Answer :
the fifth value = x = 9
Explanation:
mean of the five values = 10.2
let the fifth value = x
the values: 7,13,14, 8, and x
[tex]\operatorname{mean}\text{ }\frac{sumo\text{f all numbers }}{nu\text{mber of values}}[/tex][tex]\begin{gathered} 10.2\text{ =}\frac{7+13+14+8+x}{5} \\ 10.2(5)\text{ = }7+13+14+8+x \\ 51\text{ = }42+x \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 51-42} \\ x\text{ = 9} \end{gathered}[/tex]the fifth value = x = 9