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The hist() function of R generates a histogram. Is there any way to find the count of each bin of the histogram?

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The hist() function returns an object of class "histogram". It contains the component "counts". You can use it to see the count for each bin.

Here is an example:

> x=rnorm(50)
> h = hist(x, breaks = 5)
> h$counts
[1]  7 18 15  9  1