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Weighted Means Through the Looking Glass |
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| Authors: | Ruma Falk Avital Lavie Lann |
| Institution: | The Hebrew University of Jerusalem, Israel. e‐mail: rfalk@cc.huji.ac.il, avital.a8@gmail.com |
| Abstract: | Each weighted mean of two values has a counterpart, equidistant from the arithmetic mean, obtained by exchanging roles between the weights or by inversing each weight. These elementary relations are apt for introductory courses. |
| Keywords: | Teaching Harmonic mean Self‐weighted mean Inverse weights Exchanged weights Symmetry |