Math Problem Statement
Matthew wants to estimate the mean height of students visiting the stadium. He records the heights of
200
randomly selected students visiting the stadium. What is the population?
Select the correct answer below:
the mean height of the randomly selected students
the mean height of all students visiting the stadium
the
200
randomly selected students
all the students visiting the stadium
the heights of the randomly selected students
Solution
The population in this case refers to the entire group that Matthew is interested in studying, which is all the students visiting the stadium. He records a sample of 200 students to estimate information about this broader population.
So, the correct answer is:
All the students visiting the stadium.
Would you like more details or have any questions?
Here are 5 related questions to expand on this:
- What is the difference between a population and a sample in statistics?
- How can Matthew ensure that his sample of 200 students is representative of the population?
- What is a population parameter and how is it different from a sample statistic?
- What sampling methods could Matthew use to avoid bias in his study?
- How does the law of large numbers apply to Matthew’s study?
Tip: When collecting a sample, random sampling is crucial to ensure that the sample accurately represents the population.
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Math Problem Analysis
Mathematical Concepts
Statistics
Population vs. Sample
Estimation
Formulas
-
Theorems
Law of Large Numbers
Suitable Grade Level
Grades 9-12
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