Which of the following statements shows a characteristic of a statistical question?
Question
Which of the following statements shows a characteristic of a statistical question?
Solution
A statistical question is one that anticipates variability in the data and can be answered by collecting data that shows this variability. Here are some key characteristics to consider for identifying a statistical question:
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Anticipates Variability: A statistical question should expect that the answer may vary. For example, "What is the average height of students in a class?" allows for variability since students will have different heights.
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Requires Data Collection: The question must require data gathering to answer. If a question can be answered definitively without data, it is not a statistical question.
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Can Be Answered with Statistics: A statistical question can be addressed using statistical methods such as mean, median, mode, etc.
Examples of what does constitute a statistical question include: "How much time do students spend studying each week?" or "What is the average temperature in July for different cities?"
By contrast, a non-statistical question might be "What is the capital of France?" as it has a definitive answer with no variability.
In summary, look for questions that inherently involve data variability, require data collection, and can be analyzed statistically.
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