Math Problem Statement
Solution
The problem asks to determine whether the underlined value (59% of passes completed) is a parameter or a statistic.
Key Definitions:
- Parameter: A value that describes a characteristic of a population (the entire group being studied).
- Statistic: A value that describes a characteristic of a sample (a subset of the population).
Analysis:
The question specifically refers to a championship football game, meaning the completion percentage (59%) is based on the quarterback's performance in that single game. Since the "population" here is limited to all the passes in that specific game, the value (59%) applies to the entire population of passes for that game.
Correct Answer:
B. The value is a parameter because the quarterback's passes are a population.
Would you like a deeper explanation of the distinction or have any questions about this? Here are some related questions to explore:
Related Questions:
- What is the difference between a sample and a population in statistics?
- Can you give examples of parameters versus statistics in other sports scenarios?
- How would the answer change if the data represented the quarterback's performance across multiple games (a sample)?
- Why is it important to distinguish between parameters and statistics in data analysis?
- What methods can be used to calculate a statistic from a sample of a larger population?
Tip:
Remember, a parameter describes the entire group being studied (population), while a statistic is derived from a subset (sample).
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Math Problem Analysis
Mathematical Concepts
Statistics
Population vs. Sample
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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