New
New
Lesson 8 of 8
New
New
- Year 10
Problem solving with sampling
I can use my understanding of sampling to solve problems.
Lesson details
Key learning points
- Samples can be evaluated to determine the validity of any conclusions.
- A suitable sample size can vary, depending on the statistical enquiry.
- A biased sample can still be useful.
Keywords
Sample - A sample is a subset of the population.
Bias - Bias can be present in any sample collected from a population and may affect the results of a statistical investigation.
Common misconception
Biased samples are always bad.
A biased sample is sometimes useful if the sample is proportional to the population and/or it focuses on a section of the population relevant to the investigation.
Ask pupils to critique adverts and to check the fine print to discover the data that was collected and analysed to reach the claims of the company. How representative do they think the samples taken are?
Teacher tip
Licence
This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A sample is a of the population.
A sample is a of the population.
Q2.Select all the biased questions.
Select all the biased questions.
How many films did you watch last month?
Do you not agree that you are a person who doesn't not watch films?
Q3.Izzy writes the question: "How many books do you own?". What should Izzy consider when making response boxes for this question?
Izzy writes the question: "How many books do you own?". What should Izzy consider when making response boxes for this question?
Have no biased options.
Have no leading options.
Q4.A food delivery company asks: In your opinion, how would you rate the speed of your delivery by our rivals?: [Satisfactory, Bad, Very bad]. What is wrong with their question?
A food delivery company asks: In your opinion, how would you rate the speed of your delivery by our rivals?: [Satisfactory, Bad, Very bad]. What is wrong with their question?
The question has double negatives.
The responses are overlapping.
Q5.Select all the questions that are considered to be asking for personal information.
Select all the questions that are considered to be asking for personal information.
How many books did you read last month?
What type of books do you like?
Q6.A supermarket manager wants to find out how satisfied customers with the store. He asks customers: "Do you not find it easy to not not find what you need in this store?". Criticise their question.
A supermarket manager wants to find out how satisfied customers with the store. He asks customers: "Do you not find it easy to not not find what you need in this store?". Criticise their question.
The question is leading people to answer 'yes'.
The question is biased.
The question is asking for personal information.
Assessment exit quiz
6 Questions
Q1.Bias can be present in any collected from a population and may affect the results of a statistical investigation.
Bias can be present in any collected from a population and may affect the results of a statistical investigation.
Q2.Select all the open questions.
Select all the open questions.
Did you vote in the last school council elections?
Don't you agree maths is the best subject?
Q3.A food delivery company designs this questionnaire. How often do you get food delivered? [once or twice /often / all the time] How could their question be improved?
A food delivery company designs this questionnaire. How often do you get food delivered? [once or twice /often / all the time] How could their question be improved?
An option for types of takeaway
Q4.The owner of a café in Oakfield wants to see if they can expand to the town of Rowanwood. They ask 15 of their neighbours in Oakfield if they would use a new café. How can they improve their sample?
The owner of a café in Oakfield wants to see if they can expand to the town of Rowanwood. They ask 15 of their neighbours in Oakfield if they would use a new café. How can they improve their sample?
Give questionnaire to people in Oakfield café
Ask more neighbours
Q5.The owner of a café wants to find out what their customers think of their new coffee brand. What type of sample should they take?
The owner of a café wants to find out what their customers think of their new coffee brand. What type of sample should they take?
A non-biased random sample
Q6.The owner of a café in Oakfield wants to find out what their customers think of their new coffee brand. Match each type of sample to a suitable example.
The owner of a café in Oakfield wants to find out what their customers think of their new coffee brand. Match each type of sample to a suitable example.
