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2.7.4.Features of the Normal distribution
Unit 2 - Probability distributions
2.7.4.Features of the Normal distributionNormal distribution plays an important role in statistics because of the following reasons:
- Numerous continuous phenomena or characters such as fish length, weight, body depth etc., are approximately normally distributed.
- Many of the discrete distributions occurring in practice such as Binomial, Poisson, etc., can be approximated by a Normal distribution.
- Even when the variable is not normally distributed, it is possible to bring it to approximately normal, by simple transformations such as square root or logarithmic or arc sin, etc.
- Normal distribution has simple and interesting mathematical properties.
- Normal distribution provides the basis for statistical inference.
- Distribution of sample statistics such as sample mean tend to normality for large ānā and hence they can be studied with the help of Normal distribution.
Last modified: Monday, 12 September 2011, 9:21 AM