The football and soccer teams at Juan’s middle school are selling movie tickets. He wants to determine the average number of tickets sold at the school. First, he surveyed eight random players on the football team. Then, he surveyed every third athlete on the football and soccer team. Which sampling technique should produce a more representative sample?
Answer
A
The first sampling method, surveying eight random football players, is the most representative.
B
Neither sample will be representative.
C
Both samples should be exactly the same.
D
The second sampling method, surveying the both teams, is the most representative.
Explanation
The goal is to estimate ticket sales across the school’s football and soccer teams. Surveying every third athlete from both teams includes players from both groups, so it is more likely to reflect the teams overall. Surveying only eight football players leaves out the soccer team and may not represent all the athletes.
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