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Units of measure do follow the standard deviation.

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โˆ™ 2010-11-27 18:54:43
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Q: Do units of measure follow the standard deviation?
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Related questions

Which type of measure of dispersion is mostly used standard deviation or variance?

They are effectively the same but the standard deviation is more popular because the units of measurement are the same as those for the variable.


What are the units of measurement of standard deviation?

Standard deviation has the same unit as the data set unit.


Why is standard deviation a better measure of dispersion than variance?

Because it is in same units as the original data. For example, if you have a sample of lengths, all in centimetres, the sample variance will be in units of centrimetres2 which might be more difficult to interpret but the sample standard deviation with be in units of centimetres, which would be relatively easy to intepret with reference to the data.


What do you mean when you say that the coefficient of variation has no units?

Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.


Why is the standard deviation used more frequently than the variance?

The standard deviation has the same measurement units as the variable and is, therefore, more easily comprehended.


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 relative measurement?

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)


Without calculating the standard deviation why does the set 4 4 20 20 have a standard deviation of 8?

The mean is 12 and each observation is 8 units away from 12.


What are the non-standard units of measure used in the Philippines?

Non standard units used in the phillipines


Why does the formula for standard deviation have a square root in it?

The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.


What standard unit of measure?

It depends on what you are trying to measure. There are different standard units for different characteristics.


Why do we need measure of standard units?

'Standard' units provide a fixed, recognisable measurement by which everything can be compared.

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