I'm working on an android application and at some point, I retrieve a value contained between -100 and 100 which follow a normal law (I don't have the parameters of this law).
I would like to create a function which returns me a mark on 20 but to avoid to have all marks between 8 and 12, I would like to "stretch" values around 0.
For example, a variation of 1 around the 0 will give me a 0.5 point of difference in the mark, and a 1 point variation around the 100 will give me a 0.01 point of difference in the mark.
Is there any algorithm/function/trick that will gave me this possibility ? Which could be the conditions or requirement ? Is there any library available that will give me this possibility ? (I search but didn't found...)
Thank you !