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Geometric Mean by Michael

Geometric Mean by Michael
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2017-03-06 03:37
Coordinate GeometryProbability & Statistics
This example demonstrates the concept of geometric mean and how it is applied in statistics. Key mathematical concepts include the calculation and application of geometric mean. Using GeoGebra commands such as Line, Point, Circle, and Intersect, the process of calculating geometric mean is visually illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a_1
  2. Point(a_1) → C
  3. Circle(C, a_2) → c
  4. Circle(C, b_1) → d
  5. Intersect(d, a_1, 2) → E
  6. Intersect(c, a_1, 1) → F
  7. OrthogonalLine(C, a_1) → e
  8. Segment(F, C) → a
  9. Segment(C, E) → b
  10. Circle(C, m_1) → h
  11. Intersect(h, e, 2) → D
  12. Angle(E, C, D) → α
  13. Segment(D, F) → i
  14. Segment(D, E) → j
  15. Segment(D, C) → m
  16. Angle(F, D, E) → β