19. an art teacher asks a sample of students if they would be interested in studying art next year. of the…

19. an art teacher asks a sample of students if they would be interested in studying art next year. of the 30 students he surveys, 81% are already enrolled in one of his art classes this year. only 11% of the school’s students are studying art this year. did the teacher survey a representative sample of the students in the school? explain.

19. an art teacher asks a sample of students if they would be interested in studying art next year. of the 30 students he surveys, 81% are already enrolled in one of his art classes this year. only 11% of the school’s students are studying art this year. did the teacher survey a representative sample of the students in the school? explain.

Answer

Brief Explanations:

The sample consists mostly of students already in the teacher's art classes (81%). Since only 11% of school - wide students study art this year, the sample is biased towards art - interested students. It doesn't represent the whole student body.

Answer:

No, the teacher did not survey a representative sample. The sample is mostly made up of students already in art classes, which over - represents art - interested students compared to the school's overall art - studying population.