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 |
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| container_end_page | 39 |
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| container_issue | 1 |
| container_start_page | 38 |
| container_title | The American statistician |
| container_volume | 44 |
| creator | Schwertman, Neil C. Gilks, A. J. Cameron, J. |
| description | 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. |
| doi_str_mv | 10.1080/00031305.1990.10475690 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0003-1305 |
| ispartof | The American statistician, 1990-02, Vol.44 (1), p.38-39 |
| issn | 0003-1305 1537-2731 |
| language | eng |
| recordid | cdi_proquest_journals_1311446025 |
| source | Jstor Complete Legacy; Periodicals Index Online; JSTOR Mathematics & Statistics |
| subjects | Calculus Estimators Logical proofs Mathematical differentiation Mathematical intervals Proof calculi Statistical deviations Statistical median Statistics Teacher's Corner Unbiased estimators |
| title | A Simple Noncalculus Proof That the Median Minimizes the Sum of the Absolute Deviations |
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