Random Sampling Statistics Example 1
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Example 1
easyA school has 500 students numbered 001–500. Describe how to select a simple random sample of 20 students using a random number generator.
Solution
- 1 Step 1: Assign each student a unique number from 001 to 500.
- 2 Step 2: Use a random number generator to produce numbers between 1 and 500. If a number is repeated, skip it and generate another.
- 3 Step 3: Continue until 20 unique numbers are selected. The students with those numbers form the sample.
Answer
Number all students 001–500, use a random number generator to select 20 unique numbers, and survey the corresponding students.
Simple random sampling gives every member of the population an equal chance of being selected. Using a random number generator eliminates human bias in the selection process and produces a representative sample.
About Random Sampling
Random sampling is a method of selecting individuals from a population where every member has an equal chance of being chosen, ensuring the sample is unbiased and representative of the whole population.
Learn more about Random Sampling →More Random Sampling Examples
Example 2 medium
Explain the difference between simple random sampling, stratified sampling, and systematic sampling.
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Example 4 hardA university has 12,000 students: 7,200 undergraduates and 4,800 postgraduates. A researcher wants a