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In this lesson, we introduce the concept of sampling by identifying and clarifying the population at Karekare College. We explore the question: Do boys tend to have longer popliteal lengths than girls? Students will learn how to collect data through sampling, emphasizing the practicality and efficiency of using samples rather than entire populations. By taking samples of boys and girls, students will graph their findings and make observations about similarities and differences in their data. The conclusion prompts reflection on the insights gained through sample analysis and the implications for understanding the broader population.
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Lesson 3 Introducing sampling
Focus • Identifying and clarifying the population • Sampling variation • What is a sample? • Why sample?
PROBLEM • Do boys at Karekare College tend to have longer popliteal lengths than girls at Karekare college?
DATA • How will you collect the data? • Make a graph? • Take a sample…
Sample • Why is a sample better than using the whole population? • Practicable • Takes less time • How might we sample?
Sample Population • Can a sample tell us about the population? • Sample is good enough to look at the population • We can get general/overall ideas, not specifics • We take a sample because it tells us about the population • What do you think your graphs will look like?
In pairs – go sample… • Take a sample of 30 girls and a sample of 30 boys from your population • Graph your data on the graphs provided • Write at least three I notice statements about your sample
Share… • Leave your graph and I notice statements on your desk… • Go and look at other graphs. • For each other graph observe (and write) • One thing that is similar to your graph and • One thing that is different from your graph
Conclusion • Did the graphs of different samples give the same information? • In what ways were they the same? • In what ways were they different?
I notice… • Statements from my data
I wonder… • Inferential statements about what is happening back in the population