Normal distribution

1. Normal distributions are a family of distributions that have the same symmetric and bell-like shape.

2. It has two parameters: the standard deviation (s) and the mean (m).

3. The normal distribution is defined by:

f( x ) = (2ps2)-1/2 e - (x - m)2 / 2 s2

4. Normal distribution is important because many variables in nature are distributed normally.

5. The normal distribution is important because of the Central Limit Theorem, which states that the mean in a large number of samples is approximately normally distributed.