Harmonic mean

Math can be cruel.

So, let's say you have a strong wind.  Oklahoma-strong.

On your bicycle, you ride a tailwind and zip along at 20 mph. Unfortunately, you have to come back home fighting a headwind all the way.  You manage to grind back in at 10 mph.

What was your average speed?

15 mph? You wish.

Answer: the harmonic mean of 10 and 20.  This works out to 13.3 mph.  Grrr.

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