### Sampling distributions

The applet below allows for the investigation of sampling
distributions by repeatedly taking samples from a population. The top
plot displays the distribution of a population. Several options are
available for the population distribution: Uniform, Bell shaped,
Skewed, Binary (with several values for p) and Custom. Each distribution can be changed
interactively by clicking and dragging the mouse on the plot. The
Custom option provides a blank plot on which a distribution can be
constructed. When the **Sample** button is clicked, **N**
random samples of size **n** will be repeatedly selected from the
population. The sample statistics
specified in the bottom two plots will be updated for each
sample. If **N** is set to 1 and **n** is less than or equal to 50, the display will
show in an animated fashion the points selected from the population dropping into the second
plot and the corresponding summary statistic values dropping into the
third and fourth plots. To stop an animation click the Reset button.
Summary statistics for each plot are shown in
the panel to the left of the plot. Things to try with the applet: