The data fit nicely onto both sides of an A4 sheet of paper. I have used this data to simulate a population of barramundi in the Fitzroy river, but you of course can make up your own scenario. By having students 'catch' samples of size 2, size 8 and size 32, the effect of increasing the sample size on the interval estimate of the population mean can be observed.
Every student selects a sample of two 'barra' at random and calculates the mean length.
This is their point estimate of the average length of a barramundi in the Fitzroy River. This set of data illustrates a sample distribution for a sample of size 2. Use your statistics program to calculate the mean and standard deviation of this set of sample means and construct a histogram. Discuss what the summary statistics and the histogram are telling us. It is important to stress that this 'sample distribution of the mean' doesn't actually exist, as in reality just a single sample is taken rather than a large number of samples.