Due to Outliers Which Measure of Central Tendency Is Best

Variation or Variability measures. The mean and mode can vary in skewed distributions.

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They are computed to give a center around which the measurements in the data are distributed.

. This inflates the SD a lot making the SDs use less than desirable however the SD method has some desirable aspects over the IQR method namely 15 times the IQR is a relatively subjective cutoff. In skewed distributions the median is the best measure because it is unaffected by extreme outliers or non-symmetric distributions of scores. Due to outliers being present the distribution likely has issues with normality already unless ouliers are evenly distributed at both ends of the distribution.

For normally distributed data all three measures of central tendency will give you the same answer so they can all be used. They describe data spread or how far away the measurements are from the center.

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