Statistics › Section G · The central limit theorem › Topic G.2

The central limit theorem for sums

Will the elevator overload? Can this month's receipts cover the costs? Some questions are about totals, not averages - and a sample sum is as random as a sample mean. The central limit theorem governs both.

In this topic

  • Totals are random too
  • The sum's centre and spread
  • The z-formula for sums
  • Where sums matter
  • Worked example: the elevator
  • Worked example: a month of receipts
  • Landmarks for sums
  • Sums and averages, one theory
  • Common mistakes to avoid
  • Key takeaways

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