31 - Averaging Is Statistically Convenient and Educationally Misleading

Averaging feels neutral, objective, and mathematically sound, but in the context of student learning, it can quietly distort the story a grade is meant to tell. In this episode, Tom and Natalie take a deep dive into the statistics that dominate most gradebooks (mean, median, and mode) and unpack why tools designed to summarize stable data can mislead us when applied to something as dynamic as human learning. Along the way, they explore the hidden problems of equal weighting, outliers, small sample sizes, and the false precision created by decimals that suggest more accuracy than the evidence can truly support.

Through practical examples and thought-provoking scenarios, Tom and Natalie show how averaging can punish growth, hide mastery, and cement early struggles into final judgments. But this episode isn’t anti-math; it’s about measurement clarity. They explore the limited situations where averaging can be helpful and offer practical alternatives for blending statistical summaries with professional judgment so that grades communicate what they’re supposed to: a meaningful and defensible interpretation of student learning.

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