Marissa randomly selected 25 people who go to her school to take a survey. Is this sample of the school likely to be biased?
Question
Marissa randomly selected 25 people who go to her school to take a survey. Is this sample of the school likely to be biased?
Solution
The answer to whether Marissa's sample is likely to be biased or not depends on how she selected these 25 people.
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If Marissa randomly selected these individuals without any preference or pre-selection, then the sample is likely to be unbiased. This is because each person in the school had an equal chance of being selected, which is the principle of random sampling.
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However, if Marissa selected these people based on certain characteristics (like only her friends, or only people from her grade, or only people from a specific club), then the sample would be biased. This is because not everyone in the school had an equal chance of being selected.
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It's also important to consider the size of the school. If the school is very large, a sample of 25 might not be representative of the entire student body, even if it was randomly selected.
In conclusion, without more information about how Marissa selected these 25 people, we can't definitively say whether the sample is likely to be biased or not.
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