The Normal Distribution: Crash Course Statistics #19 - Videos

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Today is the day we finally talk about the normal distribution! The normal distribution is incredibly important in statistics because distributions of means are normally distributed even if populations aren’t. We’ll get into why this is so – due to the Central Limit Theorem – but it’s useful because it allows us to make comparisons between different groups even if we don’t know the underlying distribution of the population being studied.

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50 COMMENTS

  1. Still, I have a problem with using standard deviation where the standard deviation is large compared to the mean and you get a large probability that some quantities that cannot be less than zero are. Example: if have a mean height of 2 m and a standard deviation of 5 m then there is a significant portion of the curve is less than zero meters in height. What is negative height? It is nonsense.

  2. …so in practice, if 100 voters cast 'randomly' (e.g. uninformed) they'll pass any Bill 50% of the time without meaning-to (i.e. uninformed)—and,—to reduce that to 5%, requires a Vote minimum of 58—but also, we can estimate that any Vote within the ±7 of their mean 50, is indistinguishable from random voting (the 'drunk-walk' however-much they're informed)…
    …so if statistics is worth anything it is that it tells us there is no game won by a majority…
    …if athletes are drug-tested to prove they're not-'drunk-walking', Senators should be too…

  3. The Normal Distribution……
    shape of a Normal Distribution…….
    follows a Normal Distribution…..
    in a Normal Distribution……
    Normal Distribution into…..
    data is Normally Distributed …..
    finally Normal Distribution…………!

  4. Could not understand a single thing. What is the point of crash course if it just like any other boring lecture. You keep introducing new concepts but fail to explain ongoing ones. CrashCourse Statistics will not do well like this

  5. Very confusing video. Was there even an explanation of what the "normal distribution" even is? The video starts off talking about it and why it's useful, but I kept waiting for what it actually is mathematically. Also, many other terms and ideas are thrown out with no explanation at all. I feel like instead of 11 minutes, this topic needed to be much longer, and deal with these topics a bit slower and more thoroughly.

  6. I teach this stuff to 16 year olds and i think they could have been able to follow everything up to here, but why pick up the pace like this here? Its too much info with too few 'quirky' examples imho. There are lots of people who can do math, but very few that can make videos like you can. Remember what you're good at!

  7. I still don't understand what a sample meanS is in practical terms other than a pair of dice. Where do we in real life ONLY analyse for sample meanS not sample meaN? Makes no sense the way it was presented.

  8. Mean sample mean distribution sample mean distribution normal distribution normal mean normal distribution normal sample means standard deviation sample mean sample mean normal distribution sample blue jay sample mean mean standard deviation sample means…
    That's what this video sounded like to me. I feel dumb.

  9. The sample distribution can't still be perfectly normal, though. To use your example, if you measure gross income instead of net income, it is never negative no matter how many samples you take. For a true normal distribution, for any arbitrarily extreme value, if you keep drawing samples you will almost surely get something at least that extreme; for gross incomes, you will never find a sample with a negative mean no matter how big it is.

    I haven't done the math to see how exactly that fails to contradict the central limit theorem, but my guess is just that the standard deviation gets smaller faster than the sample distribution approaches normal, or something like that.

  10. who is the audience for this? someone like me that's already understood all of this at some point? it better not be for someone who's new to it, cause this is how you kill interest and make people feel dumb

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