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Pearson Edexcel IAL Mathematics S3.2 Sampling Question Bank

Practise describing sampling methods from tables and lists, including systematic, stratified and simple random sampling choices.

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
  • compare stratified and simple random sampling using population structure

Covered syllabus points

S3.2.1 - Methods for collecting dataS3.2.2 - Other methods of sampling

S3.2 - Sampling question 1

[Maximum number: 4]

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

He obtains a list of all 280 students.

Question (a)

(a)

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

[ 2 ]

Question (b)

(b)

State, giving a reason, the advice you would give to Luka regarding the use of his table of numbers for generating a simple random sample of 10 of the Year 12 students.
(2)

[ 2 ]
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