Sampling Distributions - Means
Imagine that there is a population of students at a large high school with a mean GPA of 3.6. You do not know that the mean is 3.6, and you want to find the average GPA of all the students. This value is the population mean (i.e. parameter). The population mean is denoted as μ.
You and your friends each take a sample and observe various results. Your sample is 3.5, while another friend has a sample mean of 3.7, another has a sample mean of 3.52, etc. These various means are sample means (i.e. statistics). The sample mean is denoted as x̅.
If you were to graph all of these sample means that you and your friends observed, you would create a sampling distribution of x̅.