Why does mean() of Numpy.randint(0,100) converge to 49.49?

I wanted to test how evenly distributed the numpy randint function is, so I did this.

>>> a = np.random.randint(0, 100, 10000)
>>> a.mean()
`49.1685`
>>> a = np.random.randint(0, 100, 1000000)
>>> a.mean()
`49.494202`
>>> a = np.random.randint(0, 100, 1000000000)
>>> a.mean() <br>`49.49944384`

I was confused about why it was reaching 49.49 as an average. I figured someone else out there would have the same question.



Read more here: https://stackoverflow.com/questions/66324801/why-does-mean-of-numpy-randint0-100-converge-to-49-49

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