How to calculate MSE for Gaussian histogram?

I fit the Gaussian distribution with the histfit command. I want to calculate MSE but I have no idea how to do it.

Can this approach be used for MSE calculate?

hhf = histfit(noise_filt)
df = fitdist(noise_filt(:), 'Normal')
y = normpdf(hhf(1).XData,df.mu,df.sigma);
mse = mean((y - hhf(1).YData).^2)

mse = 1.183472134374673e+07

Answer 1

[Image Analyst]

I'd probably do it on the original data, not the histogram

meanValue = mean(noise_filt);
mse = mean((noise_filt - meanValue) .^ 2)

[studentmatlaber]

Thank you so much. can this approach also be used for weibull distribution?

[Image Analyst]

I don't see why not. The MSE doesn't care what produced the reference and test data.