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From Probability and Statistics: Descriptive statistics · Measures of Central Tendency

Fifty people with ordinary incomes are in a room, and a billionaire walks in. What happens to the mean and median income?

  1. The mean soars; the median barely moves
  2. Both rise by roughly the same amount
  3. The median soars; the mean barely moves
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Answer: The mean soars; the median barely moves

The mean adds the billionaire's fortune into the total, while the median just shifts by at most half a position in the ordered list.

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