A Simple Noncalculus Proof That the Median Minimizes the Sum of the Absolute Deviations

A Simple Noncalculus Proof That the Median Minimizes the Sum of the Absolute Deviations

A simple noncalculus proof that the median minimizes the sum of the absolute deviations is presented. It is based on sets and is appropriate for continuous or discrete populations.

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Veröffentlicht in:The American statistician 1990-02, Vol.44 (1), p.38-39
Hauptverfasser: Schwertman, Neil C., Gilks, A. J., Cameron, J.
Format: Artikel
Sprache:eng
Schlagworte:
Calculus
Estimators
Logical proofs
Mathematical differentiation
Mathematical intervals
Proof calculi
Statistical deviations
Statistical median
Statistics
Teacher's Corner
Unbiased estimators
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Beschreibung
Zusammenfassung:A simple noncalculus proof that the median minimizes the sum of the absolute deviations is presented. It is based on sets and is appropriate for continuous or discrete populations.
ISSN:0003-1305
1537-2731
DOI:10.1080/00031305.1990.10475690