answersLogoWhite

0


Best Answer

Yes.

User Avatar

Wiki User

βˆ™ 8y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Does the coefficient of variation measure variability in a data set relative to the size of the arithmetic mean?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Coefficient of variation is a measure of relative variation. True or False?

True


Is it possible to calculate the coefficient of variation using relative values instead of absolute values?

The coefficient of variation should be computed only for data measured on a ratio scale, as the coefficient of variation may not have any meaning for data on an interval scale. Using relative values instead of absolute values can cause the formula to give an incorrect answer.


What is the use of coefficient of deviation?

the relative measures of the mean deviation to the average about which it is calculated,i.e. arithmetic mean.


How do you calculate coefficient of variation in spss?

The coefficient of variation is a method of measuring how spread out the values ​​in a data set are relative to the mean. It is calculated as follows: Coefficient of variation = Οƒ / ΞΌ Where: Οƒ = standard deviation of the data set ΞΌ = average of the data set If you want to know more about it, you can visit SilverLake Consulting which will help you calculate the coefficient of variation in spss.


What is the relative dispersion with the mean of 45000 and a standard deviation of 9000?

Relative dispersion = coefficient of variation = (9000/45000)(100) = 20.


What does a coefficient of variation tell you?

It tells you about the size of variation relative to the size of the observation, and it has the advantage that the coefficient of variation is independent of the units of observation. Here is a example to help you see it. If you have a data set with weights, the value of the standard deviation of a set of weights will be different depending on whether they are measured in grams or lbs or micrograms etc. For example if you look at the weights of kids from birth to 18 years, some countries measure in lbs other in kg and some even use stones. The coefficient of variation, however, will be the same in both cases as it does not depend on the unit of measurement. So you can obtain information about the children's weight variation around the world by using the coefficient of variation to look at all the ratios of standard deviations to mean in each country. To compute it we look the ratio of the standard deviation to the mean .


What is relative measure?

These measures are calculated for the comparison of dispersion in two or more than two sets of observations. These measures are free of the units in which the original data is measured. If the original data is in dollar or kilometers, we do not use these units with relative measure of dispersion. These measures are a sort of ratio and are called coefficients. Each absolute measure of dispersion can be converted into its relative measure. Thus the relative measures of dispersion are:Coefficient of Range or Coefficient of Dispersion.Coefficient of Quartile Deviation or Quartile Coefficient of Dispersion.Coefficient of Mean Deviation or Mean Deviation of Dispersion.Coefficient of Standard Deviation or Standard Coefficient of Dispersion.Coefficient of Variation (a special case of Standard Coefficient of Dispersion)


What is the difference between absolute variation and relative variation?

relative change is a proprotional change where absolute change is a complete change.........


What do coefficient represent?

The relative proportions of each reactant and product.


What is coefficient of static force?

i guess the question should be coefficient of static friction force.if it is so then it is just a dimensionless quantity signifying the degree to which the frictional force can oppose relative motion and prevent any relative motion.


What is coefficient static force?

i guess the question should be coefficient of static friction force.if it is so then it is just a dimensionless quantity signifying the degree to which the frictional force can oppose relative motion and prevent any relative motion.


What is the use of coefficient of variability in statistical analysis in explaining analytical result?

The coefficient of variablility is usually referred to as R-squared. It is the percentage (written in decimal form - like .80 means 80%) of the variance in the data that is explained. You want that number to get as close to 1.00 (which means 100%) as possible. If your R-squared is .65, that means that you have explained 65% of the variance, or fluctuation, in the data. To get the percentage higher, you can add more variables to your model, or attempt transformations of the current variables in your model. There is no set value that the R-squared needs to be - it is dependent on what type of analysis you are doing and what you are trying to explain. Be cautious in adding additional variables to a model just to make only a small gain in your R-squared (like 2% or less), as more variables means more potential for multicollinearity in your model. The Coefficient of Variability (CV) allows comparison of the standard deviations of different variables that are in different units of measure. For example, if you wanted to compare the length of a course of recovery from a specific infectious illness with the number of times that the patient had had that illness, you could approach the study with the coefficient of variability. In that instance, a CV might tell you -- if the numbers happened to work out this way -- that in your sampled population, relative to their means, the variability in length of illness was greater than the variability in number of times the patients had had the illness. Technically, CV is used with ratio scale variables where zero is an "absolute" zero point; i.e. a score of 0 = nothing.CV = [(100) (s) / X ]This statistic measures the ratio of the standard deviation of a variable relative to its mean