Understanding Random Sampling
This worksheet helps 6th-grade students understand and apply concepts of random sampling, including identifying representative samples and making inferences about populations.
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Understanding Random Sampling
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Read each question carefully and answer to the best of your ability. Show your work where applicable.
1. Which of the following is the best definition of a random sample?
A sample where everyone in the population has an equal chance of being selected.
A sample chosen by convenience.
A sample that only includes people who agree to participate.
A sample where certain groups are intentionally excluded.
2. A school wants to find out the favorite subject of its 500 students. Which of these methods would produce a random sample?
Asking only the students in the math club.
Asking every 10th student from an alphabetical list of all students.
Asking only the teachers.
Asking only the students in the first class of the day.
3. A is a smaller group chosen from a larger group called a .
4. When every member of a population has an equal chance of being selected for a sample, it is called a sample.
5. A sample that accurately represents the characteristics of the population is called a sample.
6. A biased sample will accurately represent the entire population.
True
False
7. A survey is being conducted to find out what type of music students at a middle school listen to. Describe a method for selecting a random sample of 50 students from the school.
8. Explain why surveying only students in the band class would NOT be a random sample for the question above.
9. A store manager wants to know the average age of customers who visit the store on a Saturday. They survey the first 20 customers who enter the store. Is this a random sample? Explain your reasoning.