What can a sample tell us about a population?
An inference depends on how observations were obtained as well as how they are summarised.
Background and goal
No prior study required. Read the assigned passage; the route is an introduction, not a survey of the whole subject.
Compare a convenience sample and a random sample for a hypothetical transport survey.
Your pathway
4 steps · 3 hours- 01
Begin in fifteen minutes
0.25h · week 1Reading notes and task
First fifteen minutesWrite your initial answer to “What can a sample tell us about a population?” in three sentences. Keep it to compare with your final answer.Your outputThree-sentence starting answer - 02
Read the argument
1h · week 1Reading notes and task
Introductory Statistics 2e. An inference depends on how observations were obtained as well as how they are summarised.
Try thisRead Sections 1.1–1.3. Mark one claim, its reason and a passage you do not yet understand.Your outputAnnotated argumentCheck your understanding
Answer this question in your own words: What can a sample tell us about a population?
Hint
Name the claim, then explain why a reader might accept it.
Compare with an example answer
An inference depends on how observations were obtained as well as how they are summarised.
What to look for
- States a claim that addresses the question
- Connects the claim to a passage or observation
- Separates the author’s argument from personal agreement
Common mistake: Summarising a biography instead of explaining the argument.
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- 03
Try the idea
1h · week 1Reading notes and task
Try thisCompare a convenience sample and a random sample for a hypothetical transport survey.Your outputWorked exampleCheck your understanding
What would make your activity a convincing example?
Hint
Compare a convenience sample and a random sample for a hypothetical transport survey.
Compare with an example answer
A useful response carries out the task: Compare a convenience sample and a random sample for a hypothetical transport survey. It records the observation or passage used and explains how it bears on the question.
What to look for
- Completes the specific task
- Shows evidence or reasoning rather than only a conclusion
- Identifies an alternative explanation or reading
Common mistake: Presenting an opinion without showing the example it rests on.
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- 04
Explain what changed
0.75h · week 1Reading notes and task
Try thisRevise your initial answer. Include one passage, one reason and one limit: A larger biased sample does not automatically give a better population estimate.Your outputRevised answer with a reading referenceCheck your understanding
What is one conclusion this reading does not establish?
Hint
Test the boundary: A larger biased sample does not automatically give a better population estimate.
Compare with an example answer
A larger biased sample does not automatically give a better population estimate.
What to look for
- States a specific limit
- Explains why the reading does not warrant the stronger conclusion
- Distinguishes a limitation from dismissing the work
Common mistake: Treating a useful interpretation as an unrestricted fact.
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All 1 resources
Background, different viewpoints, and further reading.
Introductory Statistics 2e
An inference depends on how observations were obtained as well as how they are summarised.
Sections 1.1–1.3
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Sampling and bias
Introduces the vocabulary and a small example before the longer study.
Uncertainty and estimates
Introduces the vocabulary and a small example before the longer study.