Vì điểm trung bình cộng bằng 6,8.
\(\Rightarrow\overline{X}=\frac{5.2+6.5+9.n+10.1}{2+5+n+1}=6,8.\)
\(\Rightarrow\frac{10+30+9n+10}{8+n}=6,8.\)
\(\Rightarrow\frac{50+9n}{8+n}=6,8\)
\(\Rightarrow50+9n=6,8.\left(8+n\right)\)
\(\Rightarrow50+9n=54,4+6,8n\)
\(\Rightarrow9n-6,8n=54,4-50\)
\(\Rightarrow2,2n=4,4\)
\(\Rightarrow n=4,4:2,2\)
\(\Rightarrow n=2.\)
Vậy \(n=2.\)
Chúc bạn học tốt!