Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
The 16 students of a class scored these marks out of 50, from the lowest to the highest:
18, 21, 24, 26, 27, 29, 30, 31, 32, 33, 35, 36, 38, 40, 43, 47
The population is everyone we want to know about. The sample is the few we ask. A fair sample gives everyone the same chance of being chosen. A sample that leaves out a kind of person is biased.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The whole class. , about marks.
Step 2. The top four. , and marks. That is about 10 marks too high.
Step 3. Every fourth student. , and marks. That is only about 1 mark too low.
Step 4. Which is better. Every fourth student is spread over the whole class. The top four leave out everyone else, so that sample is biased.
Answer: marks; marks; marks. Every fourth student is much closer.
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