Name: Glenn
Level of question: University
Who is asking: Forester/Biometrician

Hi Math Central,

What is the correct formula for coefficient of variation for a binomial distribution?



Hi Glenn,

The coefficient of variation is the standard deviation divided by the mean, and then usually multiplied by 100 to express it as a percentage. It is thus the standard deviation expressed as a percentage of the mean.

The mean of the binomial distribution with parameters n and p is np and the standard deviation is and thus the coefficient of variation is

which simplifies to