Abstract
This essay is a personal investigation into the origins, consequences, and significance of the concepts of "distribution" that we are working to instill in children. When creating learning experiences, these factors need to be in the back of our minds. The idea of "distribution" is formed as a filter through which statisticians view the variety in data. I investigate the causes of data variation, the distinction between empirical and theoretical distributions, the characteristics of statistical models, sampling distributions, the conditional nature of distributions used for modelling, and the foundations of inference.
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