# Connexions

You are here: Home » Content » Varieties of Normal Distribution Simulation

### Recently Viewed

This feature requires Javascript to be enabled.

# Varieties of Normal Distribution Simulation

Module by: David Lane. E-mail the author

## General Instructions

This demonstration allows you to change the mean and standard deviation of two normal distributions and observe the effects on the shapes of the distributions.When the demonstration begins, the red distribution has a mean of 50 and a standard deviaton of 10. The blue distribution has a mean of 50 and a standard deviation of 5. Notice how much more spread out the red distribution is than the blue distribution.

Choose different values for the two distributions and investigate their effects.

## Step by Step Instructions

Change the mean of the blue distribution to 60 and notice what happens. Did its shape change, or just its position along the X-axis?

Compare the blue and red distributions. Do the areas under the curve appear to differ? They should be the same: the red distribution is wider but not as high as the blue distribution.

Experiment by changing the means and standard deviations of both distributions to explore the variety of shapes a normal distribution can take on. Note that some values will not allow the distributions to be displayed in full.

## Summary

Normal distributions have different means and standard deviations. Normal distributions that differ only in their means have the same shape. Normal distributions with different standard deviations are more or less spread out.

## Content actions

PDF | EPUB (?)

### What is an EPUB file?

EPUB is an electronic book format that can be read on a variety of mobile devices.

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

#### Definition of a lens

##### Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

##### What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

##### Who can create a lens?

Any individual member, a community, or a respected organization.

##### What are tags?

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks