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central-limit-theorem.md

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Central Limit Theorem

{% hint style="success" %} It states that the average of the sample means will be equal to the population mean. {% endhint %}

Irrespective of how the population data points are distributed, the plot of sample means will always look like a normal distribution.

For a normal distribution, we know that,

  • Mean, Median and Mode are equal
  • Data is symmetric about the mean

Using these properties we can draw inferences about the population as a whole.