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The variance or standard deviation.

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Q: Which measure of variation is appropriate when using the mean?
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Does variation mean range in math terms?

No. A range is one measure of variation. It is easy to find, but it is also a rather crude measure.


What is the coefficient of variation?

The coefficient of variation is the ratio between the standard deviation and the mean.


What is difference between absolute measure of dispersion and relative measures of dispersion?

The Absolute Measure of dispersion is basically the measure of variation from the mean such as standard deviation. On the other hand the relative measure of dispersion is basically the position of a certain variable with reference to or as compared with the other variables. Such as the percentiles or the z-score.


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 does the name Cailey mean?

Cailey is a variation of Caylee, which is a variation of Kayla, which is an Arabic and Hebrew name meaning "laurel, crown".