I collected data for a discrete probability distribution and I have the pairs (value, probability).
Value Probability 90 0,0033 125 0.0204 180 0.0847 250 0.2516 355 0.4653 500 0.175 710 0.0015
I have been asked to compute a gaussian fit over that data but I am having troubles. Is it possible (and does it make sense) to fit a gaussian distribution over it?
I tried to build the corresponding gaussian distribution by computing mean (
334) and standard deviation (
100) of my data but, of course, it does not work.
Gaussian density function values are related to continuous values while the probability I have are continuous.
I guess that I have too few discrete values to compute the gaussian distribution, but I am not really into statistics so I am not sure and I'd like to double check with you that I'm not missing something.