How to calculate gear range mean step? On this wikipedia article, all the mean steps in the gearing range chart appear to be wrong, but my guess is that I am misinterpreting something:
https://en.wikipedia.org/wiki/Bicycle_gearing
180%/3 != 34.2%
250%/5 != 25.7%
300%/7 != 20.1%

etc
How are the authors arriving at these mean step figures?
Edit:
Looking at the source of the page, I see this:
{{#expr:(1.8^(1/2)-1)*100 round 1}}%

So it appears that the formula they are using is:
mean_gear_step = ((gear_range/10)^1/(number of gears - 1) - 1) * 100

No idea why this is though.
100 x 1.34 x 1.34 = 180.
With three gears you've got a starting gear (100%) and then two change-ups of 34%, leaving you at 180% of where you started.
You'd probably find similar sums work for the other two examples you gave.