- Year 10
- Higher
Advanced problem solving with sampling
I can use my understanding of sampling to solve problems.
- Year 10
- Higher
Advanced problem solving with sampling
I can use my understanding of sampling to solve problems.
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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, such as in stratified sampling.
Keywords
Sample - A sample is a subset of the population.
Stratified sample - A stratified sample is where a representative sample is taken from each stratum.
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.
To help you plan your year 10 maths lesson on: Advanced problem solving with sampling, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 10 maths lesson on: Advanced 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.
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Lesson video
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Prior knowledge starter quiz
6 Questions
Q1.A stratified is where a representative sample is taken from each stratum.
Q2.Select all the biased questions.
Q3.Jacob writes the question: "How many siblings do you have?". What should Jacob consider when making response boxes for this question?
Q4.A pizza company asks: In your opinion, how would you rate the sizes of pizza by our rivals?: [Satisfactory, Small, Microscopic]. 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 overspend in this store?". Criticise their question.
Assessment exit quiz
6 Questions
Q1.You should use a sample when the population consists of several distinct groups such as year groups in a school or people studying different courses.
Q2.A film streaming company designs this questionnaire. How often do you get download films? [once or twice /often / all the time] How could their question be improved?
Q3.The owner of a cinema in Oakfield wants to see if they can expand to the town of Rowanwood. They ask 10 of their friends in Oakfield if they would use a new cinema. How can they improve their sample?
Q4.The owner of a bakers in Oakfield wants to find out what their customers think of their new cakes. Match each type of sample to a suitable example.
80 people selected at random from the population of Oakfield
80 people selected at random from the baker's customers
80 people who buy cakes from the bakers selected at random
80 people who buy gluten free bread at the bakers selected at random