human height standard deviation
2010

What is the deal with the normal distribution curve to provide real chance of the impossible?
The normal distribution curve is a continuous curve defined over all real numbers. I do not know what the average or standard deviations are for these examples … but for a man to be at over 15 feet tall or have a negative (or negative weight), or a human being to have an IQ below 40 … etc. .. provides a probability curve for the population, although such measures could not be achieved. Makes the whole distribution of a large set of statistical manipulation BS, doesn't it? It means nothing, a paradox without real explanation I can see and everyone seems to ignore or ridicule.
The normal curve is always an approximation, like any other distribution. It is clear that the length can not be normal, because the length can not be negative. The general approach gets more and more poor to enter the Line:. rule for the number 1 is extremely wary of the normal probability calculations involving extreme tails (more than a few 4s.ds they tend not to believe in any circumstances and in some cases I have much more careful.) It's a good rule of thumb for applying the glue with very small probabilities and any distribution. That said, can sometimes be an incredibly good approximation in the main body of the distribution, and often works quite well, or 2.5 s.ds both sides of the media. No need to take a models as gospel, and one should not impute the accuracy of a model that does not possess. I can give many examples where faith in a model of what has caused serious problems too very. But that does not mean it is a waste of time to use probability models total.
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