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What is measure of relative dispersion?

Updated: 4/28/2022
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Q: What is measure of relative dispersion?
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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 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 relative dispersion with the mean of 45000 and a standard deviation of 9000?

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


Is range a measure of central tendency?

no it is a measure of dispersion.


What is the difference between absolute dispersion and relative dispersion in statistics?

Absolute dispersion usually refers to the standard deviation, a measure of variation from the mean, the units of st. dev. are the same as for the data. Relative dispersion, sometimes called the coefficient of variation, is the result of dividing the st. dev. by the mean, hence it is dimensionless (it may also be presented as a percentage). So a low value of relative dispersion usually implies that the st. dev. is small in comparison to the magnitude of the mean, as in a st. dev. of 6cm for a mean of 4m would give a figure of 0.015 (1.5%) whereas with a mean of 40cm it would be 0.15 or 15%. However with measurements either side of zero and a mean close to zero the relative dispersion could be greater than 1. As is usual, interpret with caution.


Why do you measure dispersion?

How do we calculate variance


Which is not a measure of dispersion range or variance?

Variance


What is dispersion method?

It is the measure of central tendency.


Why standard deviation is best measure of dispersion?

standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.


What measure of dispersion is used with bimodal distribution?

Central tendency is used with bidmodal distribution. This measure if dispersion is similar to the median of a set of data.?æ


What are the characteristics of a good measure of dispersion?

A good measure of dispersion is one such that the a goodness-of-fit test shows that the observed values agree well with the expected values.


What are measures of dispersion in healthcare?

It's a statistical tool used in psychology. A simple way of calculating the measure of dispersion is to calculate the range. The range is the difference between the smallest and largest value in a set of scores. This is a fairly crude measure of dispersion as any one high or low scale can distort the data. A more sophisticated measure of dispersion is the standard deviation which tells you how much on average scores differ from the mean.