SK SSA Math 9 study materials
SK SSA Math 9 study resources

Sampling and a misleading conclusion

SK SSA Math 9 · Put your knowledge to work in context.

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Sampling and a misleading conclusion

A fictional school wants to learn whether its students play organized sports regularly. It surveys only members of the basketball team and finds that most answer yes. A learner declares that most students in the whole school must therefore play organized sports. Another suggests surveying more basketball players without changing the selection rule. A third identifies the target population and the over-represented group. The task asks what the sample can support and how selection could be improved. No actual school, percentage or guaranteed random procedure is supplied. The example is a mathematical model for interpreting evidence, not an official research claim. A good explanation should distinguish the number of answers from the way participants were chosen and avoid pretending that a larger biased sample automatically becomes representative.

1. What is the main limitation?

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Basketball players are already selected for sports participation. Their answers cannot automatically represent the whole school on that question; increasing only that same selected group does not remove the bias.

2. What could improve the design?

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Choose from the defined whole-school population using a fair selection method that includes students outside sports teams. Keep the question neutral and report the actual method and remaining limitations.