{% 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.