# statistics

## Interactive Main and Variance

Michael Jacobsen
This article tries to explain multiple concepts from statistics using a small Javascript illustration of the correlation of two variables. The normal distribution in one dimension is described by the probability distribution $$f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x-\mu)^2}{2\sigma^2}}$$ where $$\mu$$ is the mean and $$\sigma$$ is the standard deviation. While the mean is easily understood, the standard deviation measures how spread out the distribution is. A large $$\sigma$$ implies that numbers further from the mean are more likely.