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An electoral register contains 8000 names - AQA - A-Level Maths Mechanics - 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 Mechanics - Question 12 - 2021 - Paper 3

Step 1

Explain how to enumerate the population using valid numbering stating range used

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Answer

The researcher should assign a unique number to each name in the electoral register, ranging from 1 to 8000. This ensures that each name can be accurately identified and selected during the sampling process.

Step 2

Calculate 8000+100 or 80 seen

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Answer

The total number of names is 8000, and since 100 names are to be sampled, the interval between each selected name can be calculated as:

$k = \frac{8000}{100} = 80$

This means that every 80th name will be selected from the register.

Step 3

Explain the selection process for the sample

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Answer

The researcher should randomly select a starting point by choosing any number between 1 and 80. This number will be the first name selected. Then, the researcher will select every 80th name from the list, starting from this first selection, to form a systematic sample of 100 names from the electoral register.

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