axis bound in data

I am dealing with Data like statistics, a majority of the numbers are in the center but there is always some far numbers away from the center, Min and Max would not work in this case what is a good way to select the start and end of the axis that counts for the majority of the samples? ( Ignoring samples far off both sides)

Maybe you could try taking between the 5% and 95% percentile of the data, even increasing the window a bit: