The interquartile range ( IQR ) is a measure of variability, based on dividing a data set into quartiles.
2.
It is therefore desirable in analysing the causes of variability to deal with the square of the standard deviation as the measure of variability.
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Because the MAD is a simpler measure of variability than the standard deviation, it can be used as pedagogical tool to help motivate the standard deviation.
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This assessment involves measures of central tendency or averages, such as the mean and median, and measures of variability or statistical dispersion, such as the standard deviation or variance.
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When the median is used as a location parameter in descriptive statistics, there are several choices for a measure of variability : the range, the interquartile range, the mean absolute deviation, and the median absolute deviation.
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Some measures that are commonly used to describe a data set are measures of central tendency and measures of variability or mode, while measures of variability include the standard deviation ( or variance ), the minimum and maximum values of the variables, kurtosis and skewness.
7.
Some measures that are commonly used to describe a data set are measures of central tendency and measures of variability or mode, while measures of variability include the standard deviation ( or variance ), the minimum and maximum values of the variables, kurtosis and skewness.
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