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3. Construct Arguments Two data sets have the
same mean but one set has a much larger MAD
than the other. Explain why you may want to use
the median to compare the data sets rather than
the mean.



Answer :

GinnyAnswer

Final answer:

When data sets have the same mean but different MAD, using the median is more suitable as it is less affected by outliers.


Explanation:

The mean and median can differ significantly when dealing with data sets that have outliers. If two data sets have the same mean but different MAD (Mean Absolute Deviation), it could indicate that one set is more affected by extreme values. In this case, using the median to compare the data sets would be more appropriate as it is less influenced by outliers, providing a more robust measure of central tendency.


Learn more about Central Tendency and Outliers here:

https://brainly.com/question/33581018


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