• bane_killgrind@lemmy.ml
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    1 year ago

    https://en.m.wikipedia.org/wiki/Benford's_law

    Look at the logarithmic scale. This law has to do with number sets in the wild, so apparently the scaling is flat over the set of data they examined. If you look at the distribution of the number sets over the logarithmic scale, they are evenly distributed. If you looked at the same numbers on a linear scale, they would become more and more sparse as they grow in size.

    • Pogbom@lemmy.world
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      1 year ago

      Cool! Now imagine I’ve got severe brain damage… can you explain that again?

      • ShakeThatYam@lemmy.world
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        1 year ago

        In real life distributions you are always going to have situations where you fill up the bigger digits last, so it becomes less likely they show up. The best example of this is the population of cities. For cities between 100k and 999k you’ll have a larger number of cities with 100k-300k because cities of those sizes are smaller and more common.

        • lunarul@lemmy.world
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          1 year ago

          Benford’s law is about the leading digit, so it doesn’t matter if the numbers are rounded or not.

      • bane_killgrind@lemmy.ml
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        1 year ago

        No problem!

        So if you have a small amount of something, you’ll have maybe 2, maybe 3, or 4, or 5, or 6, 7, 8, 9, 10, 11, 12, 13, 14 or so. If you have a medium amount of something, the numbers might be 20, or 30 ish, or 40 ish, 50s, 60s, 70s, 80s, 90s, 100ish, 110ish, 120 or so, around 130. Larger amounts of stuff end up being 200ish, 300, 400, 500, 600, 700, 800, 900, 1000ish, around 1100, 1200 something, 1300

        All the numbers I’ve mentioned are about evenly spaced on this logarithmic scale. You can see that a bunch of them start with 1 just because of how big we think they are! It turns out there is a math reason for this, instead of just being about the weird way humans think.