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Edexcel A-Level Mathematics A2 S3.2.2 Other Methods of Sampling Questions

Practise systematic and stratified sampling, including sample allocation and representation advantages, with verified Edexcel IAL evidence.

Syllabus
First assessment 2019
Course
Mathematics YMA01
Level
A2

Exam points

  • explain systematic sampling by numbering the population, choosing a start and taking every kth item
  • calculate stratified sample sizes from city or group totals before describing the selection
  • compare stratified and simple random sampling using representation of the population structure

Edexcel A-Level Mathematics A2 S3.2.2 Other Methods of Sampling Questions question 1

[Maximum number: 2]

Luka wants to carry out a survey of students at his school.

He obtains a list of all 280 students.

Explain how he can use this list to select a systematic sample of 40 students.
(2)

Luka is trying to make his own random number table. He generates 400 digits to put in his table. Figure 1 shows the frequency of each digit in his table.

Figure 1

Figure 1

A test is carried out at the 10\% level of significance to see if the digits Luka generates follow a uniform distribution.

For this test ∑(O−E)2E=5.9\sum \frac{(O-E)^{2}}{E}=5.9

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