Calculadora de Coeficiente de Variação
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
CV = σ / μ × 100%
About this calculator
The Coefficient of Variation (CV) Calculator is a statistical tool that measures the relative dispersion of a dataset. CV is calculated by dividing the standard deviation by the mean and multiplying by 100, resulting in a percentage. This value allows comparing variability across different datasets, even if they have different units or means. For example, a low CV indicates homogeneous data, while a high CV suggests high dispersion.
How it works: simply enter the numerical values of your dataset, and the calculator automatically computes the mean and standard deviation, applying the formula CV = (standard deviation / mean) × 100%. The result is displayed as a percentage. It is important that the data are numeric and that the mean is not zero, as this would make CV undefined. This tool is useful for quick analyses without complex software.
When to use? CV is widely applied in fields such as finance (to compare investment risk), quality control (assess process consistency), biology (measure variation in body measurements), and education (compare class performance). For example, when comparing two investment funds, CV helps identify which has lower relative risk. It is also used in scientific research to normalize variability between groups.
Important considerations: CV is only valid for ratio-scale data (with absolute zero) and should not be used for interval-scale data (like temperature in Celsius). Also, if the mean is very close to zero, CV can become extremely high or unstable. Avoid interpreting CV in isolation; combine it with other measures like mean and standard deviation. Remember that CV is unitless, facilitating comparisons, but its interpretation depends on context.
Frequently asked questions
What does a high coefficient of variation mean?
A high CV indicates that the data are highly dispersed relative to the mean, meaning high relative variability. For example, above 30% in many fields is considered high.
Can I use CV to compare data with different units?
Yes, that is one of the main advantages of CV. Since it is dimensionless (percentage), it allows comparing the dispersion of datasets with different units, such as height in cm and weight in kg.
What if the mean is zero?
If the mean is zero, CV is undefined (division by zero). In that case, you cannot calculate CV. Check your data or use another dispersion measure.
What is the difference between CV and standard deviation?
Standard deviation measures absolute dispersion, while CV measures relative dispersion to the mean. CV is useful for comparing variability between datasets with very different means.
Can CV be negative?
No, CV is always non-negative because standard deviation is non-negative. However, if the mean is negative, the formula yields a negative CV? Actually, the standard formula assumes positive mean; otherwise, CV loses meaning. Typically, we use the absolute value of the mean or only consider positive means.