The Normal Distribution
The Normal Distribution
- In a normal distribution: \(\text{median}=\text{mean}=\text{mode}\)
- Normal distributions are symmetrical
- \(68\%\) of data lies within one standard deviation: \(\sigma\)
- \(95\%\) of data lies within two standard deviations: \(2\sigma\)
- \(99.7\%\) of data lies within three standard deviations: \(3\sigma\)
Formula
\[X \sim \mathcal{N}(\mu, \, \sigma^2)\]