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?
Answer
A
Both samples should be exactly the same.
B
The second sampling method, surveying drama club members in her physical education class, is the most representative.
C
Neither sample will be representative.
D
The first sampling method, surveying drama club members in her homeroom, is the most representative.
Explanation
Surveying every third drama club member in physical education class uses a systematic sampling method and spreads the selection across that group. Surveying only members in Millie’s homeroom is more likely to overrepresent people who share that class or schedule. So the second method should produce the more representative sample: surveying every third member in her physical education class.
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