Q:

# How is coefficient of variation interpreted?

A:

Coefficient of variation is defined as the ratio of standard deviation to the arithmetic mean. Coefficient of variation gives a sense of "relative variability," as reported by the GraphPad Statistical software website. It can be expressed either as a fraction or a percent.

Know More

Coefficient of variance (CV) is used to understand the scatter of variables that are expressed in different units. For example, the coefficient of variation for blood pressure can be compared with the coefficient of variation for pulse rate. In this case, blood pressure and pulse rate are two different variables.

While interpreting coefficient of variation, 0 can be reported provided it actually implies "zero." For example, zero weight implies no weight. Coefficient of variation can be reported for variables such as weight. In contrast, 0 degrees Celsius does not actually imply "zero" temperature. It's meaningless to report the coefficient of variation for variables, such as degrees Celsius temperature.

When variables are expressed as logarithms, reporting the CV for these sets of variables becomes meaningless because a logarithm of 1 implies zero. This is because when the logarithmic scale is converted to another scale, the definition of zero would be redefined, and so would the value of CV. For example, it makes no sense to calculate the CV of a set of pH values, because pH is expressed in logarithmic scale, and pH does not actually mean "zero pH or no acidity."

Sources:

## Related Questions

• A:

Geometric standard deviation is the degree of variance of a particular group of numbers from the geometric mean as opposed to the binomial mean. It is appropriately used for numbers that form a geometric distribution rather than a binomial one.

Filed Under:
• A:

The mean absolute deviation of a number set is the average distance between each value and the mean. This is obtained by finding the mean of the set, determining the absolute value difference between each number, and the mean and calculating the average of these differences.

Filed Under:
• A:

To calculate the relative standard deviation, divide the standard deviation by the mean and then multiply the result by 100 to express it as a percentage. The relative standard deviation is also known as the coefficient of variation or the variation coefficient. Engineers and researchers use it to determine precision and repeatability in data that they gather from their experiments.