BMJ 1995;310:298 (4 February)

Statistics notes

The normal distribution

Douglas G Altman, Head,a J Martin Bland, reader in medical statistics b

a Medical Statistics Laboratory, Imperial Cancer Research Fund, PO Box 123, London WC2A 3PX, b Department of Public Health Sciences, St George's Hospital Medical School, London SW17 0RE

Correspondence to: Mr Altman.

When we measure a quantity in a large number of individuals we call the pattern of values obtained a distribution. For example, figure 1 shows the distribution of serum albumin concentration in a sample of adults displayed as a histogram. This is an empirical distribution. There are also theoretical distributions, of which the best known is the normal distribution (sometimes called the Gaussian distribution), which is shown in figure 2. Although widely referred to in statistics, the normal distribution remains a mysterious concept to many. Here we try to explain what it is and why it is important.


Available Only
in the Full Text
FIG 1 (left)--Serum albumin values in 248 adults FIG 2 (right)--Normal distribution with the same mean and standard deviation as the serum albumin values

In this context the name "normal" causes much confusion. In statistics it is just a name; statisticians often . . . [Full text of this article]


Add to CiteULike CiteULike   Add to Complore Complore   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to StumbleUpon StumbleUpon   Add to Technorati Technorati    What's this?

Relevant Article

Standard deviations and standard errors
Douglas G Altman and J Martin Bland
BMJ 2005 331: 903. [Extract] [Full Text] [PDF]

This article has been cited by other articles:

  • Irving, G. (2009). Goodbye to gobbledegook: an introduction to basic statistics in primary care. InnovAiT 2: 372-383 [Abstract] [Full text]  
  • Montaudon, M., Berger, P., de Dietrich, G., Braquelaire, A., Marthan, R., Tunon-de-Lara, J. M., Laurent, F. (2006). Assessment of Airways with Three-dimensional Quantitative Thin-Section CT: In Vitro and in Vivo Validation. Radiology 0: 2422060029-0 [Abstract] [Full text]  
  • Muller, M.J., Mazanek, M., Weibrich, C., Dellani, P.R., Stoeter, P., Fellgiebel, A. (2006). Distribution characteristics, reproducibility, and precision of region of interest-based hippocampal diffusion tensor imaging measures.. Am. J. Neuroradiol. 27: 440-446 [Abstract] [Full text]  
  • Altman, D. G, Bland, J M. (2005). Standard deviations and standard errors. BMJ 331: 903-903 [Full text]  
  • Altman, D. G, Bland, J M. (1999). Statistics notes Variables and parameters. BMJ 318: 1667-1667 [Full text]  
  • Altman, D. G, Bland, J M. (1996). Statistics Notes: Detecting skewness from summary information. BMJ 313: 1200-1200 [Full text]  
  • Bland, J M., Altman, D. G (1996). Statistics Notes: Transforming data. BMJ 312: 770-770 [Full text]  

Rapid Responses:

Read all Rapid Responses

Note on the correct interpretation of the Central Limit Theorem
Miodrag M Lovric
bmj.com, 24 Nov 2007 [Full text]



Access jobs at BMJ Careers
Whats new online at Student 

BMJ