# Distribution of the Sample Range of Discrete Random Variables

Distribution of the Sample Range of Discrete Random Variables

Let , …, be a random sample from a probability distribution. Let and be the smallest and the largest value in the sample. The sample range is , that is, the difference between the largest and the smallest value. The sample range is a crude measure of the variation in the sample. The Demonstration shows the distribution of the sample range, when the sample is drawn from some well-known discrete distributions.

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