Statics › Section G · Centroids and centers of gravity › Topic G.1

Weighted averages

Centres of gravity, centres of mass and centroids are all averages of position in which some parts count for more than others. This topic builds the one tool behind all of them: the weighted average.

In this topic

  • Not every value counts equally
  • The arithmetic mean
  • The weighted average formula
  • Worked example: a grade point average
  • What the weights do
  • Worked example: average speed of a trip
  • Worked example: blending aggregate
  • Averaging groups of items
  • Weighted averages in statics
  • Common mistakes to avoid
  • Key takeaways

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