Problem solving with sampling
Lesson details
Learning outcome
I can use my understanding of sampling to solve problems.
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.
Teacher tip
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?
Licence
Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A sample is a of the population.
Q2.Select all the biased questions.
Q3.Izzy writes the question: "How many books do you own?". What should Izzy consider when making response boxes for this question?
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?
Q5.Select all the questions that are considered to be asking for personal information.
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.
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.
Q2.Select all the open questions.
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?
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?
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?
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.
To help you plan your 10 maths lesson on: Problem solving with sampling, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 10 maths lesson on: Problem solving with sampling, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Sampling unit, dive into the full secondary maths curriculum, or learn more about lesson planning.