Normal distribution formula
Few statistics textbooks are likely to tell you what
the formula for the normal distribution is.
Many will still give you tables of values derived from the formula,
and it is built into most statistics software.
(For example,
in Microsoft Excel,
you can use the NORMDIST function.)
So you do not need to know it.
For the curious,
here it is:
Here, x is the distance from the mean
in standard deviations
and e is Euler's constant
(2.71828...).
Source:
- Spiegel, M.R. 1968.
Mathematical handbook of formulas and tables.
New York: McGraw-Hill.
P. 256.
In practice,
the ratio between the x and y scales varies.
So the formula can be simplified to
where k is constant for a given set of data.
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Last updated November 12, 1999.
This page maintained by
Prof. Tim Craven
E-mail (text/plain only): t.craven@uwo.ca
Faculty of Information and Media Studies
University of Western
Ontario,
London, Ontario
Canada, N6A 5B7