why Normal Distribution with Histogram not matching?
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Hi, I have a vector of 30189 rows and 300+ columns. All of them with normal distribution. When I try to plot the Normal distribution and histogram of one column, the curve crest is ~2 (max y axis) but when I put the histogram, they reach like 4000 in the y axis making the distribution curve to be way too small to be seen. Why? Below I left figures.
for Distribution_tap=1:pt
pd=fitdist(Cp(:,Distribution_tap),'Normal');
x_values=min(Cp(:,Distribution_tap)):0.01:max(Cp(:,Distribution_tap));
y_value=pdf(pd,x_values);
hold on
plot(x_values,y_value,'LineWidth',2);
histogram(Cp(:,Distribution_tap),30)
end
First figure shows the distribution only
This is when I add the histogram

Third figure shows the data is normally distributed

Accepted Answer
More Answers (1)
This is because histogram shows frequency of your sample, while PDF plots the density. Of course you can change the way histogram behaves:
x = randn(1000, 1);
pd = fitdist(x, 'Normal');
x_values = min(x):0.01:max(x);
y_values = pdf(pd, x_values);
hold on
plot(x_values, y_values, 'LineWidth', 2)
histogram(x, 'Normalization', 'pdf')
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