# How does central tendency relate to normal distribution?

##### 1 Answer

Any normal distribution has a graph that is perfectly symmetric about a vertical line through its peak. Therefore, all measures of central tendency (most commonly, the mean, median, and mode) give the same answer: the

#### Explanation:

A normal distribution with mean

The graph of this function is the classical "bell-shaped curve". The standard normal distribution with

graph{(1/sqrt(2pi))*e^(-x^2/2) [-2.5, 2.5, -1.25, 1.25]}

The mean of a general normal distribution is equal to the improper integral

This integral is not too hard to do when

The median is the value of

The mode is the

All the measures of central tendency therefore give the same answer: the