Reconstructing a graph using specific parameters

I would like to reconstruct the image/graph. i know i can apply different distributions to get a similar graph. But i am not sure how to actually go about it? I know the peak value(P), the xaxis value at peak(XP),and i know the width of the graph at half peak(W). I have this graph as discrete data with Y and X values that means i can perform further evaluations on it to get more parameters. Plus which distribution would fit it more nicely? Normal or lognormal?

PS I have attached the material file for X and Y values. result(1,:) are the Y values and result(2,:) are X values.