Normal Distribution
Equation
$$f(x)=\frac{1}{\sigma \sqrt{2 \pi}} e^{-\frac{1}{2}\left(\frac{x-\mu}{\sigma}\right)^2}$$
Inputs
\(\mu\) mean:
\(\sigma\) standard deviation:
Normal Distribution
Basic Definition
The normal distribution is a continuous probability distribution centered around a mean parameter (mu) with spread controlled by standard deviation (sigma).
Uses & Applications
It is commonly used for measurement errors, natural variation, and standardized scoring. The 68-95-99.7 rule provides quick interval estimates for one, two, and three standard deviations.