This applet compares the normal distribution with the standard normal.
How to use the applet
- In the table at the top, enter values for the mean of
,
,
the standard deviation of
,
, and a percentile,
.
can be any
number between -100 and 100;
can be any number in
the range
; and
can be any number in the range
.
Note, these cells act like a spreadsheet application; to
change an entry, click on it, delete the current value, type a
new one, and then press enter.
- Below the table, plots of
and
are drawn and labeled
"Normal Distribution" and "Standard Normal Distribution,"
respectively.
is the
z-score for
, related by
the equation
.
- On either plot, you can drag the slider labeled x or z. The
percentile and the corresponding shaded region in the other plot are
updated as you drag the slider. You cannot drag the slider beyond
p = .001 or p = .999.
The applet