Sampling Methods
Math ⇒ Statistics and Probability
Sampling Methods starts at 9 and continues till grade 12.
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See sample questions for grade 10
A population consists of 1,000 students. If you want to select a simple random sample of 50 students, how many students does each have a chance of being selected?
A researcher divides a city into 10 districts and randomly selects 3 districts. All households in those districts are surveyed. What sampling method is this?
A researcher wants to ensure that both urban and rural students are represented in a survey. Which sampling method should she use?
A researcher wants to select a sample by choosing every 10th student from a list of 500 students. What sampling method is being used?
A researcher wants to study the opinions of teachers in a country. She selects 5 schools at random and surveys all teachers in those schools. What sampling method is this?
A school has 60% girls and 40% boys. If you want to select a stratified sample of 100 students, how many girls and boys should be included?
Describe a situation where cluster sampling would be more practical than simple random sampling.
Describe how you would select a systematic sample of 20 students from a list of 200 students.
Describe one advantage and one disadvantage of using systematic sampling.
Explain the main difference between cluster sampling and stratified sampling.
Explain the main disadvantage of using non-probability sampling methods.
Explain why random sampling is important in statistics.
A company wants to survey its 2,400 employees. They decide to select every 8th employee from an alphabetically ordered list, starting from the 3rd employee. How many employees will be included in the sample?
A researcher is studying the reading habits of students in a school with 1,200 students. She divides the students into 6 classes and randomly selects 2 classes. She then surveys all students in those 2 classes. Identify the sampling method and discuss one potential limitation of this approach.
A researcher wants to estimate the average height of trees in a large forest. She divides the forest into 100 equal plots, randomly selects 10 plots, and measures all trees in those plots. Explain why this method might be more efficient than measuring a simple random sample of trees from the entire forest.
A university has 12,000 students. To conduct a survey, the administration divides students into four groups based on their year (freshman, sophomore, junior, senior) and randomly selects 50 students from each group. What is the total sample size, and what sampling method is being used?
Explain why stratified sampling can lead to more precise estimates of population parameters compared to simple random sampling, especially when the population is heterogeneous.
