Question: I have an array of values, with those values I plotted the histogram, calculated mean and variance. I want to know the corresponding distribution from the histogram obtained. How is it possible? Could you please explain the steps in obtaining appropriate probability distribution from histograms?

Answer: 
From [basic properties of variance](https://en.wikipedia.org/wiki/Variance#Basic_properties): 

$\text{Var}(X\_1+X\_2) = \text{Var}(X\_1)+\text{Var}(X\_2)+2\text{Cov}(X\_1,X\_2)$ and the $k-$variable case can be obtained recursively from that.
You can just calculate the basic data from the cumulative data.

$f\_n$ = $F\_n$ - $F\_{n-1}$

Where $f\_n$ denotes the basic data and $F\_n$ is the cumulative value