Median
Median [ edit ] In general, there is no single formula to find the median for a binomial distribution, and it may even be non-unique. However, several special results have been established: If np is an integer, then the mean, median, and mode coincide and equal np . [10] [11] Any median m must lie within the interval ⌊ np ⌋ ≤ m ≤ ⌈ np ⌉. [12] A median m cannot lie too far away from the mean: | m − np | ≤ min{ ln 2, max{ p , 1 − p } }. [13] The median is unique and equal to m = round ( np ) when | m − np | ≤ min{ p , 1 − p } (except for the case when p = 1 / 2 and n is odd). [12] When p is a rational number (with the exception of p = 1/2 and n odd) the median is unique. [14] When p = 1/2 and n is odd, any number m ...