Final answer:
The sampling method where a test is given to every 10th president in a randomly selected high school is termed systematic sampling, which involves selecting subjects at fixed intervals to ensure an evenly distributed sample.
Step-by-step explanation:
Type of Sampling Used
The scenario described in the question suggests that a test is administered to every 10th president in a randomly selected high school, which can be identified as a kind of systematic sampling. Systematic sampling involves selecting samples based on a set interval - in this case, every 10th president. This allows for an organized and evenly spaced selection process within the chosen population.
Systematic sampling has similarities with simple random sampling, but it differs in that it uses a fixed interval rather than selecting subjects entirely at random. This process simplifies the selection procedure and can still provide a representative sample if the list of subjects does not have an underlying pattern that might bias the results.
Considering other examples:
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- A sample that selects an equal number from each group (freshmen, sophomores, juniors, and seniors) for a survey is an example of stratified sampling.
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- Polling every tenth person who enters a store is another instance of systematic sampling.
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- Choosing subjects at random, such as using a random number generator, is an example of simple random sampling.