# 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. --- # Agent Instructions: Querying This Documentation If you need additional information that is not directly available in this page, you can query the documentation dynamically by asking a question. Perform an HTTP GET request on the current page URL with the `ask` query parameter: ``` GET https://ai.nuhil.net/statistics/central-limit-theorem.md?ask= ``` The question should be specific, self-contained, and written in natural language. The response will contain a direct answer to the question and relevant excerpts and sources from the documentation. Use this mechanism when the answer is not explicitly present in the current page, you need clarification or additional context, or you want to retrieve related documentation sections.