Answer:
No, the teacher did not survey a representative sample of the students in the school. The sample of 30 students that he surveyed had a much higher percentage of students already enrolled in art classes (81%) compared to the overall percentage of students in the school who are studying art (11%). This indicates that the sample may have been biased and not representative of the entire student population. In order to obtain a representative sample, the teacher should have taken steps to ensure that the sample of students he surveyed was representative of the overall student population in terms of characteristics such as enrollment in art classes, age, gender, and other relevant factors.