The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. Normal distributions can be transformed to standard normal distributions by the formula:

Summary: A collection of equations related to distributions.

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. Normal distributions can be transformed to standard normal distributions by the formula:

Given a population with a mean of

The central limit theorem states that given a distribution
with a mean

This section applies only when the means are computed from
independent samples. This distribution can be understood by
thinking of the following sampling plan: Sample n scores
from the population of people and compute the mean. This
mean will be designated as

Assuming the means from which

If

The standard error of the median for large samples and normal distributions is:

The standard error of the standard deviation is:

The sampling distribution of a proportion is equal to the
binomial distribution. The mean and standard deviation of
the binomial distribution are

The mean of the sampling distribution of the difference
between two independent proportions