Edexcel A-Level Mathematics A2 S3.2 Sampling Questions
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
Question 1
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
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
[ 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 ]
Question 2
A company has 800 employees.
The manager of the company is going to take a sample of 80 employees.
Question (a)
(a)
Explain how this sample can be taken using systematic sampling.
[ 3 ]
Question (b)
(b)
The company has offices in London, Edinburgh and Cardiff. The table shows the number of employees in each city.
The president of the company is going to take a sample of 100 employees to determine the average time employees spend in front of a computer each week.
Explain how this sample can be taken using stratified sampling.
[ 3 ]
Question (c)
(c)
Explain an advantage of using stratified sampling rather than simple random sampling.
[ 1 ]
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