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Lesson 0 of 11

4 min

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A pencil balanced a ruler at one exact mark. Why?

Two tales: a balance point, and a line across time.

This is Part II, Chapter 5, Tales by Dots and Lines.

What you will learn

  • The balance point — the mean is the one spot where numbers balance.
  • Above and below — the two sides of that spot always match.
  • Moving one — change one number, and the mean moves too.
  • Adding one — a new number can raise or lower the mean.
  • Two groups — averaging two means is not always the right answer.
  • A line over time — dots join when the order is real.
  • Reading the line — how steep a stretch is, what a join hides.
  • Drawing it honestly — the same numbers, two very different pictures.

Every idea has a lab. Move something yourself and watch the mean change.