6. A class held a math competition with a total of 10 questions, each worth 10 points. $\frac{3}{19}$ of the class got all questions correct, $\frac{13}{19}$ of the class averaged 5 correct answers, and the rest of the class got all questions wrong. The average score for this math competition in the class is points.
【Analysis】Assume there are 19 students in the class,
3 students scored full marks; 13 students averaged 5 questions, i.e., an average of 50 points; the remaining $19-3-13=3$ (students) got all wrong, 0 points;
$$
\begin{array}{l}
\text { Total score } 3 \times 100+50 \times 13=950 \text { (points). } \\
\text { Average } 950 \div 19=50 \text { (points). }
\end{array}
$$