Hey skaterboy1 and welcome to the forums.
For this kind of problem, we use what is called an estimator.
An estimator is used to get an idea of what a parameter of a distribution might be given a set of data. The estimators that statisticians and scientists used have the properties that they are consistent, unbiased and reliable.
We have different kinds of estimators like Method of Moments and Maximum Likelihood Estimators. These templates can be applied for general distributions if the distribution has certain properties (for example MLE can't be applied to Uniform distributions because it is a constant function which screws up the estimator).
What is your mathematical and statistical background like?