APA Dictionary of Psychology

uniform distribution

Updated on 04/19/2018
a theoretical continuous distribution in which the probability of occurrence is the same for all values of x, represented by f(x) = 1/(b – a), where a is the lower limit of the distribution and b is its upper limit. For example, if a fair die is thrown, the probability of obtaining any one of the six possible outcomes is 1/6. Since all outcomes are equally probable, the distribution is uniform. If a uniform distribution is divided into equally spaced intervals, there will be an equal number of members of the population in each interval. Also called rectangular distribution.
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