Off topic, but a log scale might be useful: 0.1 Bellard --> -10 deciBellards. That allows for: 0.001 Bellard --> -30 deciBellards.
Problem: Programmers with negative productivity cannot be represented on the same log scale.
Off topic, but a log scale might be useful: 0.1 Bellard --> -10 deciBellards. That allows for: 0.001 Bellard --> -30 deciBellards.
Problem: Programmers with negative productivity cannot be represented on the same log scale.
Are they a 4σ programmer, 1σ programmer, -0.5σ programmer, -2σ programmer?
Plus, most people are "average" not negative productivity, and CDFs let you use really fun stuff like Beta Distributions (variable, shapable distributions) and Gamma Distributions (exponential distributions). They're super sweet as far as probability statistics.
[1] https://en.wikipedia.org/wiki/Cumulative_distribution_functi...
[2] https://en.wikipedia.org/wiki/Probability_density_function
About half are better than median though.
This is similar to the problem of price-to-earnings ratio. The ratio goes asymptotic as earnings goes through zero. It would be better to quote earnings-to-price ratio. Another screwy reciprocal unit is miles per gallon for cars.
I’d bet range anxiety was also a thing for early gasoline powered cars, so the early adopters of those probably preferred mpg over gpm.