Pablo randomly surveys students in his middle school to learn about their favorite type of music. Of 50 respondents, 34 liked to listen to classic rock music.

Part A
Based on Pablo’s data, how many of the 550 students in his middle school like to listen to classic rock music?

Part B

If Pablo conducted his survey based on 50 students on a volunteer basis, are the results representative of the middle school? Select all the statements that apply to Pablo’s survey.

The sample size is too large.


The sample is randomly selected.


The sample size is small.


The sample represents middle school students' favorite type of music.


The sample is not randomly selected.

1 answer

Part A:
If 34 out of 50 respondents liked classic rock music, then the proportion of students who like classic rock can be calculated as: 34/50 = 0.68.
Therefore, out of the 550 students in the middle school, approximately 0.68 x 550 = 374 students like classic rock music.

Part B:
- The sample is randomly selected: Yes
- The sample represents middle school students' favorite type of music: Yes
- The sample is not randomly selected: No

Therefore, the statements that apply are:
- The sample is randomly selected.
- The sample represents middle school students' favorite type of music.