Measures of dispersion in statistics with examples
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Measures of dispersion measure how spread out a set of data is. The formulae for the variance and standard deviation are given below. m means the mean of the data. The standard deviation, s, is the square root of the variance.
Examples of dispersion measures include:
Standard deviation.Interquartile range (IQR)Range.Mean absolute difference (also known as Gini mean absolute difference)Median absolute deviation (MAD)Average absolute deviation (or simply called average deviation)Distance standard deviation.
Examples of dispersion measures include:
Standard deviation.Interquartile range (IQR)Range.Mean absolute difference (also known as Gini mean absolute difference)Median absolute deviation (MAD)Average absolute deviation (or simply called average deviation)Distance standard deviation.
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A measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse.
Most measures of dispersion have the same units as the quantity being measured. In other words, if the measurements are in metres or seconds, so is the measure of dispersion.
Examples of dispersion measures include:-
1)Standard deviation
2)Interquartile range (IQR)
3)Range
4)Mean absolute difference (also known as 5)Gini mean absolute difference)
6)Median absolute deviation (MAD)
7)Average absolute deviation (or simply called average deviation)
8)Distance standard deviation
Most measures of dispersion have the same units as the quantity being measured. In other words, if the measurements are in metres or seconds, so is the measure of dispersion.
Examples of dispersion measures include:-
1)Standard deviation
2)Interquartile range (IQR)
3)Range
4)Mean absolute difference (also known as 5)Gini mean absolute difference)
6)Median absolute deviation (MAD)
7)Average absolute deviation (or simply called average deviation)
8)Distance standard deviation
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