Math Problem Statement

On election day, every 10th person leaving the voting booth is asked what candidate they voted for. What kind of sampling method is this?

Solution

The sampling method described is systematic sampling.

In systematic sampling, individuals are selected at regular intervals from a larger population. In this case, every 10th person leaving the voting booth is chosen, making it a clear example of this method.

Would you like further details or have any other questions? Here are some related questions for exploration:

  1. What are the advantages and disadvantages of systematic sampling compared to random sampling?
  2. How might the interval choice (e.g., every 10th person) affect the representativeness of the sample?
  3. Could systematic sampling introduce any biases in this context?
  4. How does systematic sampling differ from stratified or cluster sampling?
  5. What scenarios are best suited for using systematic sampling methods?

Tip: When using systematic sampling, ensure the starting point is random to minimize the risk of introducing bias.

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Math Problem Analysis

Mathematical Concepts

Statistics
Sampling Methods

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12