Distribution

Assume we live in a state with a large population, and every high school student is required to flip a coin 200 times in Port the number of times they got heads. After all the results are turned in we have tens of thousands of numbers and we can put them on a graph.

We expect this graph to show a shape similar to what we see in the function below, and we call that function a distribution.

\dfrac {1} {\sigma \sqrt {2 \pi}} e^{- \dfrac {1} {2} ( \dfrac {x - \mu} { \sigma } )^2 }

The above algebraic formula calculates the Normal Distribution, also known as the Gaussian Distribution.