ANSWER
5,440
EXPLANATION
Note: The arithmetic mean is the sum of the values divided by the number of values in a finite set of numbers.
i.e:
[tex]\begin{gathered} mean\text{ = }\frac{sum\text{ of the terms}}{number\text{ of terms}} \\ \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} mean\text{ = }\frac{3,800\text{ + 5,300 + 8,540 + 4,200 + 5,360}}{5} \\ mean\text{ = }\frac{27,200}{5} \\ mean\text{ = 5,440} \end{gathered}[/tex]Hence, the mean of the scores is 5,440.