Quartiles & IQR

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Hook

The billionaire in the bar

Twenty people in a bar each earn about $50,000. In walks a billionaire. Now the MEAN income is roughly $5 million — a number that describes no one in the room. The median barely twitches, because quartiles are built to resist exactly this kind of ambush. They split the data into quarters so you can describe the typical person AND catch the outlier that tried to fool you.