An electoral register contains 8000 names - AQA - A-Level Maths Pure - Question 12 - 2021 - Paper 3
Question 12
An electoral register contains 8000 names.
A researcher decides to select a systematic sample of 100 names from the register.
Explain how the researcher should sel... show full transcript
Worked Solution & Example Answer:An electoral register contains 8000 names - AQA - A-Level Maths Pure - Question 12 - 2021 - Paper 3
Step 1
Explain how to enumerate the population using valid numbering stating range used
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Answer
To begin, each of the 8000 names in the electoral register should be assigned a unique number from 1 to 8000. This enumeration ensures that each name is represented within the defined range.
Step 2
Calculate 8000/100 or 80 seen
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Answer
Next, the researcher must determine the sampling interval, which requires dividing the total number of names (8000) by the desired sample size (100), resulting in an interval of 80. This means the researcher will select one name from every 80 names.
Step 3
Explain how to randomly select the first person
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Answer
The researcher should then randomly select a starting point from the first 80 names. After choosing this first name, they will select every subsequent 80th name from the register thereafter. This systematic approach ensures that the sample is spread evenly across the electoral register.
