Mathematics I / The Normal Distribution
Practice question · True or false

The Central Limit Theorem explains why sums of many effects are normal, which is why income and city sizes are normal too.

Hints
  1. Are those quantities sums, or products?
  2. Multiplicative growth gives a different distribution.
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False

Why

False. The CLT applies to sums of comparable independent effects. Income and city size grow multiplicatively, proportional increases compounding, which produces a log-normal distribution with a long right tail, not a normal one. The mechanism decides the distribution, not the number of factors.

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