# HSC Higher Mathematics 2nd Paper Note 10th Chapter Measures of Dispersions and Probability

HSC Higher Mathematics 2nd Paper Note 10th Chapter Measures of Dispersions and Probability. In statistics, dispersion (also called variability, scatter, or spread) is the extent to which a distribution is stretched or squeezed. Common examples of measures of statistical dispersion are the variance, standard deviation, and interquartile range. Dispersion is contrasted with location or central tendency, and together they are the most used properties of distributions.

## HSC Higher Mathematics 2nd Paper Note 10th Chapter Measures of Dispersions and Probability

A mean-preserving spread (MPS) is a change from one probability distribution A to another probability distribution B, where B is formed by spreading out one or more portions of A’s probability density function while leaving the mean (the expected value) unchanged. The concept of a mean-preserving spread provides a partial ordering of probability distributions according to their dispersions: of two probability distributions, one may be ranked as having more dispersion than the other, or alternatively neither may be ranked as having more dispersion.

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