# #StackBounty: #normal-distribution #bootstrap #central-limit-theorem Distribution of bootstrap and central limit theorem

### Bounty: 50

Let’s take a simple example: we have 100000 observations, and we want to estimate the mean.

In theory, the distribution of the estimator is a normal distribution according to the Central limit theorem.

We can also use bootstraping to estimate the distribution of the mean estimation: we resample lots of times, then we get a distribution.

Now, my question is: is the normal distribution a good approximation for the bootstrap distribution?

Get this bounty!!!

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