General Normal Distributions (HSC SSCE Mathematics Advanced): Flashcards

$\mu = 0$ and $\sigma = 1$

$x = \mu - \sigma$ and $x = \mu + \sigma$

How many standard deviations a value is from the mean

$z = \frac{x - \mu}{\sigma}$

$x = \mu + \sigma z$

Approximately 68%

Approximately 95%

Approximately 99.7%

$Q_1 = \mu - 0.67\sigma$

$\text{IQR} = 1.35\sigma$