Introducing frequency trees
- What does the top route through the diagram represent? [It shows the situation where a student is telling the truth, and is not accused by the teacher.]
…and so on.Teacher: Let’s forget about the actual results of your experiments for now, and concentrate on what we would expect to happen. Let’s start with the box on the left: how many trials were there altogether?Students: 24T: OK, so I will write in 24 here at the start of the tree. Now, how many of these 24 students would you expect to be lying?S: FourT: Why?S: Because the spinner has got one orange part out of six – so you divide by six to see how many people were lying.T: Good. Now, of those four people who were lying, how many would you expect the teacher to accuse?S: All of them.T: Why?S: Because the teacher accuses all of the people who are lying.
Use the downloadable template to record the rest of the expected frequencies.
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