Question

the drama club members at millies middle school are selling tickets to the school play. millie wants to determine the average number of tickets sold per member. first, she surveyed the club members in her homeroom, and then she surveyed every third member of the club in her physical education class from an alphabetical list of all members. 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 club members in her homeroom, is the most representative. the second sampling method, surveying club members in her physical education class, is the most representative.

Explanation:

The first method, surveying homeroom members, is a convenience sample and may have bias as it only includes members from one specific group (her homeroom). The second method is a form of systematic sampling (selecting every third member from an alphabetical list). Systematic sampling from a full - list of members is more likely to be representative of the entire drama club.

Answer:

The second sampling method, surveying club members in her physical education class, is the most representative.