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4. What would you report? What is an appropriate measure of central location and spread for...

4. What would you report? What is an appropriate measure of central location and spread for data that are really skewed?

Math   Statistics-And-Probability   
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Answer #1

For Skewed Data:

Measure of Central Location:

Median or Mode is used. But we generally report Median .

Mean is not used since it gives biased results because of outliers present in skewed data

Measure of Spread or Dispersion:

Interquartile Range (IQR) is used.

This is more robust than Standard Deviation for addressing outliers and also for efficiently addressing ordinal data,non-normal distribution data. Because we are able to calculate the highest and lowest value with the help of the IQR value(Q3 minus Q1), we are able to find the outliers with relative ease.
With respect to Skewedness, by comparing the quartiles values with median, we are able to decipher whether data is skewed or not.

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