Measures of Dispersion Flashcards
indicates the extent to which individual items in a series are scattered about an average.
measures of dispersement
, it is used to determine the extent of scatter so that steps may be taken to control the existing variation.
measures of dispersement
. It is also used as measure of reliability of the average value. In addition, it can be used to compare data sets and informs us which data sets is less or more variable.
measures of dispersion
General Classifications of Measures of Dispersion
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measures of absolute dispersion
measures of relative dispersion
dispersion are expressed in the units of the original observations. They cannot be used to compare variations of two data sets when the averages of these data sets differ a lot in value or when the observations differ in units of measurement
measures of absolute dispersion
is the difference between the largest and smallest values.
range
standard deviation formula for a finite population
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variance formula for a population
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population variance to be estimated by sample variance s^2
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And the population standard Ο deviation can be estimated by the sample standard deviation s, where
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are unit less and are used when one wishes to compare the scatter of one distribution with another distribution.
w
measures of relative dispersion
, is the ratio of the standard deviation to the mean and is usually expressed in percentage
coefficient of variation
coefficient of variation formula
πΆπ=π/π π₯100% ππ πΆπ=π /π₯Μ π₯100%
Lower/higher value of coefficient of variation indicates a relatively less variable data set or distribution
vlower
A more heterogeneous data set is indicted by ____ coefficient of variation.
higher
