Sample
Can you match the samples to the populations?
Problem
Here are three populations:



An opportunity sample, a systematic sample and a random sample was taken from each.
Can you match the samples to the populations?
Opportunity samples (a convenient block of 9 squares was chosen):



Systematic samples (every 11th square was chosen to give a sample size of 9):



Random samples (9 squares were chosen at random):



Student Solutions
Opportunity samples (a convenient block of 9 squares chosen)
The first sample

could only come from the second population:

The second sample

must come from the third population:

Therefore the third sample

must have

come from the first population:
Systematic samples (every 11th square chosen)






Random samples (9 squares chosen at random)
It is possible that each sample came from any population, but more likely that the samples with more blue squares came from the populations with more blue squares. This is where they actually came from:





