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Mean, Median and Mode in Binomial Distributions

1980; Wiley; Volume: 34; Issue: 1 Linguagem: Inglês

10.1111/j.1467-9574.1980.tb00681.x

1467-9574

R. Kaas, J.M. Buhrman,

Statistical Distribution Estimation and Applications

Summary While studying the median of the binomial distribution we discovered that the mean median‐mode inequality, recently discussed in. Statistics Neerlandica by R unnen ‐ burg 141 and V an Z wet [7] for continuous distributions, does not hold for the binomial distribution. If the mean is an integer, then mean = median = mode. In theorem 1 a sufficient condition is given for mode = median = rounded mean. If median and mode differ, the mean lies in between.