Statisticians will love these: Distrubtion Plushies.
I used to know some glorious details about them... of course, the most famous being the normal distribution.
Yes, that's the bell curve.
It is mathematically saying... most people are average, a few of them will stand out extraordinary good, and a few will be extraordinary bad.
There are teachers who grade on the curve... even if you get 50 points in an exam you probably are still not getting an F... it depends on how your other classmates are doing.
I BEG TO DIFFER in this grading scale. All my students can get perfect scores if I teach them right.
The normal distribution function begs to be integrable to get analytical answers, but sorry, it simply can't be integrated, because it involves ex^2. Nope, u-substitution is not going to work, and by-part isn't going to work either.
But OMG, although the indefinite integral cannot be evaluated, but the definite integral from -infinity to +infinity can... and there is this surprising relationship between e and pi!
See Gaussian Integral for details. This is one reason Gauss is the prince of mathematics.
And if you have never heard of Gauss, you did not have an decent education.
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