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Pearson Edexcel IAL Mathematics S3.2.2 Other methods of sampling

Practise explaining systematic, stratified and quota sampling choices using population tables and proportional sample sizes.

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

S3.2.2 - Other methods of sampling 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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