Random Sampling Worksheet
Explore the principles and applications of random sampling in statistics with this Grade 11 math worksheet, covering definitions, types, and bias.
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Random Sampling in Statistics
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Read each question carefully and answer to the best of your ability. Show all work where applicable.
1. Which of the following best defines a random sample?
A sample where every member of the population has an equal chance of being selected.
A sample selected based on convenience.
A sample that only includes volunteers.
A sample chosen by an expert to represent the population.
2. Why is random sampling important in statistical studies?
It guarantees that the sample will be perfectly representative of the population.
It eliminates all forms of bias from the study.
It allows for generalization of results to the larger population with a measurable level of confidence.
It is the easiest and quickest way to collect data.
3. The entire group of individuals or objects that a researcher is interested in studying is called the .
4. When every possible sample of a given size has an equal chance of being selected, this is known as a random sample.
5. A sample that is not representative of the population due to a systematic error in the sampling process is said to be .
6. A stratified random sample involves dividing the population into subgroups and then randomly selecting individuals from each subgroup.
True
False
7. Convenience sampling is a form of random sampling because it is easy to implement.
True
False
8. Describe a scenario where a simple random sample would be appropriate to use.
9. Explain the difference between sampling bias and non-sampling bias.
10. A high school wants to survey its 1200 students about their satisfaction with the school's cafeteria food. They decide to survey 120 students.
a) Propose a method for selecting a simple random sample of 120 students from the school.
b) If the school instead surveyed the first 120 students who entered the cafeteria on a given day, what type of bias might be introduced? Explain your answer.