The verbal definition of the sample median sounds a bit strange in the early Statistics courses in the context of being non-mathematical or non-functional. It is also interesting that estimators based on an analytical calculation such as the sample mean are equally strange, but not seen as strange by the students as the median estimator. In this study, we have expanded the studies on teaching the sample median with its optimization definitions. We have also shown that such definitions provide a natural way of understanding the sample median in multivariate case and regression analysis. Seeing that statistical estimators, from the simplest to the most complex, are obtained as a solution to an optimization problem can pave the way for other types of insights.
Jel Classification: C01
Satman, MH. (2022). Teaching the Median with Terms of Absolute Value, Differentiability, and Optimization. Alphanumeric Journal, 10(1), 41-50. https://doi.org/10.17093/alphanumeric.1041138
Received: Dec. 23, 2021
Accepted: June 15, 2022
Published: June 30, 2022
2022 Satman, MH.
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence, which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
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School of Transportation and Logistics, Istanbul University
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Bahadır Fatih Yıldırım, Ph.D.
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