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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 is megalencephaly?

Megalencephaly (also called macrencephaly) describes an enlarged brain whose weight exceeds the mean (the average weight for that age and sex) by at least 2.5 standard deviations (a statistical measure of variation).

Related questions

Which measure of variation is appropriate when using the mean and which is appropriate when using the median?

When using the mean: the variance or standard deviation. When using the median: the range or inter-quartile range.


What are the criteria for choosing measure of central tendency and measure of variation?

Central tendency is measured by using the mean, median and mode of a set of numbers. Variation is measured by using the range, variance and standard deviation of a set of numbers.


Which measure of dispersion represents variation from the mean?

Are you talking of this in means of Statistics? If you are, then the variation from the mean is measured in standard deviation.


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.


Does the coefficient of variation measure variability in a data set relative to the size of the arithmetic mean?

Yes.


What is the appropriate measure of central tendency when evaluating the age of a group?

mean


What are the advantages and disadvantages of coefficient of variation?

One the main advantage of using the coefficient of variation over the standard deviation to measure volatility is the fact that CV is normalized and can be used to directly compare different asset's volatility. The standard deviation must be used in the context of the mean of the data.


How do you measure forse?

If you mean force (not forse) then you measure it using newtons.


What unit measure is to measure the length of a computer cable?

Not sure what cable exactly you mean, but the meter is quite appropriate to measure cables in general.


What does one standard deviation mean?

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.


What is the coefficient of variation?

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


How do you calculate coefficient of variation?

The coefficient of variation is calculated by dividing the standard deviation of a dataset by the mean of the same dataset, and then multiplying the result by 100 to express it as a percentage. It is a measure of relative variability and is used to compare the dispersion of data sets with different units or scales.