Question
The drama club members at Millie’s middle school are selling tickets to the school play. Millie wants to determine the average number of tickets sold. First, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class. Which sampling technique should produce a more representative sample?
Both samples should be exactly the same.
Neither sample will be representative.
The first sampling method, surveying drama club members in her homeroom, is the most representative.
The second sampling method, surveying drama club members in her physical education class, is the most representative.
Both samples should be exactly the same.
Neither sample will be representative.
The first sampling method, surveying drama club members in her homeroom, is the most representative.
The second sampling method, surveying drama club members in her physical education class, is the most representative.
Answers
GPT-4o mini
To determine which sampling technique should produce a more representative sample, we need to consider how each method collects data.
1. Surveying drama club members in her homeroom: This method only includes club members from one specific location (her homeroom), which may not be representative of the entire drama club since it does not take into account members from other grades or sections.
2. Surveying every third member of the club in her physical education class: This method uses a systematic approach, sampling every third member from a different context (physical education), which could yield a more diverse representation of the entire club, assuming members in the PE class reflect the broader club's demographics.
Based on this analysis, the second sampling method, surveying drama club members in her physical education class, is likely to produce a more representative sample. So, the best answer is:
**The second sampling method, surveying drama club members in her physical education class, is the most representative.**
1. Surveying drama club members in her homeroom: This method only includes club members from one specific location (her homeroom), which may not be representative of the entire drama club since it does not take into account members from other grades or sections.
2. Surveying every third member of the club in her physical education class: This method uses a systematic approach, sampling every third member from a different context (physical education), which could yield a more diverse representation of the entire club, assuming members in the PE class reflect the broader club's demographics.
Based on this analysis, the second sampling method, surveying drama club members in her physical education class, is likely to produce a more representative sample. So, the best answer is:
**The second sampling method, surveying drama club members in her physical education class, is the most representative.**