State the properties of standard normal distribution.

Question

Accepted Answer

1. It is a distribution of continuous random variable
2. Mean is 0, standard deviation is 1
3. Symmetric about $Z = 0$, skewness is zero
4. Probability curve is completely bell shaped and asymptotic to X-axis
5. First quartile $\approx -0.675$, third quartile $\approx 0.675$
6. Quartile deviation $= \frac{2}{3}$ (approximately)
7. Mean deviation $= \frac{4}{5}$ (approximately)
8. Total area under standard normal curve is 1