How to calculate how big of a sample size is needed for the Central Limit Theorem?

*moonman239*

Is there a way to calculate/estimate how big a sample from a parent distribution would need to be for the distribution of the mean of that sample to be approximately normally distributed?

MaxManus

You can't just calculate it, it depends on the distribution of the data. But about 30 is the rule of thumb.

bpet

The Berry-Esseen theorem may be useful here.

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moonman239	How to calculate how big of a sample size is needed for the Central Limit Theorem? Is there a way to calculate/estimate how big a sample from a parent distribution would need to be for the distribution of the mean of that sample to be approximately normally distributed?

MaxManus	You can't just calculate it, it depends on the distribution of the data. But about 30 is the rule of thumb.