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Which variability measure (mean, median or mode) is most useful for comparing variability in two different situations, adjusting for the fact that the situations have very different average sizes? Jus...

Which variability measure (mean, median or mode) is most useful for comparing variability in two different situations, adjusting for the fact that the situations have very different average sizes? Justify your choice.

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Answer #1

Mean , median or mode are not the measure if variability, they are the measure of central tendency. In general mean and standard deviation are the best measure of the central tendency and variability respectively if the distribution is symmetrical. For skewed distribution median and IQR are better measure of central tendency and variability.

For the given scenerio mean and standard deviation appears to be best.

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