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Jump to navigation Jump to search „Bimodal“ redirects here. For the musical concept, see Bimodality. A dis Connecting Media PDF bimodal distribution, in this case a mixture of two normal distributions with the same variance but different means. In statistics, a bimodal distribution is a continuous probability distribution with two different modes.

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More generally, a multimodal distribution is a continuous probability distribution with two or more modes, as illustrated in Figure 3. When the two modes are unequal the larger mode is known as the major mode and the other as the minor mode. The least frequent value between the modes is known as the antimode. The difference between the major and minor modes is known as the amplitude.

Under this classification bimodal distributions are classified as type S or U. Bimodal distributions occur both in mathematics and in the natural sciences. Important bimodal distributions include the arcsine distribution and the beta distribution. The ratio of two normal distributions is also bimodally distributed. 0 and a standard deviation of 1. R has a known density that can be expressed as a confluent hypergeometric function. The distribution of the reciprocal of a t distributed random variable is bimodal when the degrees of freedom are more than one.