WOLFRAM|DEMONSTRATIONS PROJECT

Comparing Standard Error of the Means

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shading
on
off
reset population(s)
blue
purple
brown
reset X axis
minimum
maximum
blue distribution
SE
1
2
purple distribution
SE
2
1.5
brown distribution
SE
3
1
X Axis
minimum
-5
maximum
5
This Demonstration shows three sampling distributions of means. You can change the standard error of the mean for each distribution. By doing so you can see how a sampling distribution becomes narrower and taller as the standard error decreases. Remember that the standard error decreases as sample size increases, so think of a decreasing standard error as an increasing function of sample size.