Harmonic Mean
The 'Harmonic Mean', defined and illustrated.
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2024-08-06-which-mean-do-you-mean--harmonic-mean/ (CC BY-NC 4.0)Transcript
Harmonic Mean: n over sum of reciprocals of data. A: "How fast did you run?" B: "Half a mile at 15.5 mph, then I got tired and did half a mile at 0.5 mph… so on average, 8 mph. Not bad!" A: "So why'd a 1-mile run take you over an hour?" B: "Oh, you want the *harmonic* mean? Weird flex, but okay."
