Analogy for Sampling Distribution of Sample Means
Students struggle with the concept of the Distribution of Sampling Means and this concept is the building block for much of the rest of the Stats course that I teach. I usually use a demonstration of how much a student spends at our local college pub each week and demonstrate the problem from there but a better analogy is the idea of going to the grocery store each week. Each week you will “sample” from the selection of foods and each week you will have a different total bill. Over the course of a year you will 52 samples of the mean spent each week at the grocery store. These can be used to create a histogram of the sample means, demonstrate the distribution of those sampling means and deriving information from that information.
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