What is Mutation Rate?

Coefficient of Variation: When it is necessary to compare the degree of dispersion between two sets of data, if the measurement scales of the two sets of data are too different, or the data dimensions are different, it is not appropriate to use the standard deviation directly. At this time, The influence of measurement scale and dimension should be eliminated, and the coefficient of variation can do this. It is the ratio of the standard deviation of the original data to the average of the original data. CVs have no dimensions so that objective comparisons can be made. In fact, it can be considered that the coefficient of variation, like the range, standard deviation, and variance, are absolute values that reflect the degree of dispersion of the data. The data size is not only affected by the degree of dispersion of the variable values, but also by the average level of the variable values.

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Generally speaking, the higher the average value of the variable value, the larger the measure of the degree of dispersion, and the smaller it is. ^[2]

It is known that the average weight of an adult sow in a breeding pig farm is 190 kg , with a standard deviation of 10.5 kg , and the average weight of an approximate sow adult sow is 196 kg with a standard deviation of 8.5 kg . A large degree of body weight variation.

Although the observed values in this example are all body weights and the same units, their averages are not the same. Only the coefficient of variation can be used to compare the degree of variation.

Because, the coefficient of variation of the body weight of adult Changbai sows: CV = 10.5 / 190 * 100% = 5.53%

Coefficient of variation for approximately grams of adult sow weight: CV = 8.5 / 196 * 100% = 4.34%

As a result, the weight of the Changbai adult sow is more variable than approximately grams of adult sow.

Note that the size of the coefficient of variation is affected by both the mean and the standard deviation.

(Standard deviation SD, mean MN)

Coefficients of variation are used in many branches of probability theory, such as in update theory, queuing theory, and reliability theory. In these theories, exponential distributions are usually more common than normal distributions.

Since the standard deviation of the exponential distribution is equal to its mean, its coefficient of variation is equal to one. Distributions with a coefficient of variation less than one, such as the Erlang distribution, are referred to as low-difference, and distributions with a coefficient of variation greater than one, such as the super-exponential distribution, are referred to as high-difference.