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A list holds 1200 voters, numbered 1 to 1200…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A list holds 1200 voters, numbered 1 to 1200. A systematic sample of 60 voters is needed. Find the step . The random start is 7. Which voter is chosen fifth, and which is chosen last?
Need a reminder? The key ideaShow
Systematic: step and a random start. Stratified: a simple random sample inside each stratum; proportional allocation gives stratum the share . Cluster: whole groups chosen at random. An estimate from strata weights each stratum by its share of the population.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The step. .
Step 2. The fifth voter. .
Step 3. The last voter. The 60th is .
Answer: , the fifth is voter 87, and the last is voter 1187.
Check. is past the end of the list, so 1187 is indeed the last.
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