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Mean, Median and Mode in Binomial Distributions
Author(s) -
Kaas R.,
Buhrman J.M.
Publication year - 1980
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1980.tb00681.x
Subject(s) - mathematics , statistics , binomial (polynomial) , mode (computer interface) , binomial distribution , binomial proportion confidence interval , negative binomial distribution , distribution (mathematics) , mathematical analysis , poisson distribution , computer science , operating system
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.