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Cake day: July 4th, 2023

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  • It’s not that we don’t use mode, there are definitely times mode is used. It’s just that mean (and median as well) contain a lot more useful information about distributions that we often care about. For a normal distribution mean, median, and mode should all be identical. So why do we use mean? Because mathematically, the mean is what underpins the formula for the normal distribution, not median or mode, and when you’re talking about doing math with normal distributions mean is the thing to talk about (along with standard deviation).

    We use median a lot too, you probably just don’t hear it called median very often. The median is useful in non-normal distributions, and it defines the 50th percentile, so along with the 25%-ile and 75%-ile you’ve got your quartile distributions. We use these all the time to talk about grades in schools, or when we talk about home prices distributions in a given area, or salaries within a given field.

    We use mode too, again just by a different name most of the time. Any time you’ve asked “what’s the most common blank” you’re basically asking for a mode. When we talk about “average” income in a country, we’re usually actually talking about median or mode. Favorite animal? Answered as a mode.

    You have to use the right statistical tool for your question: unfortunately English doesn’t do a good job of conveying this without math jargon.






  • If I was guessing, in general, I think people who advocate for a pure meritocracy in the USA feel the world should be evaluated in more black and white, objective terms. The financial impact and analytic nature of STEM and finance make it much easier to stratify practitioners “objectively” in comparison to finding, for instance, the “best” photographer. I think there is also a subset of US culture that thinks that STEM is the only “real” academic group of fields worth pursuing, and knowledge in liberal arts is pointless -> not contributing to society -> not a meaningful part of the meritocracy. But I’m no expert.


  • As a general rule, yes. People who are able to better perform a task should be preferentially allocated towards those tasks. That being said, I think this should be a guiding rule, not a law upon which a society is built.

    For one, there should be some accounting for personal preference. No one should be forced to do something by society just because they’re adept at something. I think there is also space within the acceptable performance level of a society for initiatives to relax a meritocracy to some degree to help account for/make up for socioeconomic influences and historical/ongoing systemic discrimination. Meritocracy’s also have to make sure they avoid the application of standardized evaluations at a young age completely determining an individual’s future career prospects. Lastly, and I think this is one of common meritocracy retorhic’s biggest flaws, a person’s intrinsic value and overall value to society is not determined by their contributions to STEM fields and finance, which is where I think a lot of people who advocate for a more meritocracy-based society stand.