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Visualization of MSD and RMSD

Visualization of MSD and RMSD
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2016-09-08 00:09
Coordinate GeometryProbability & StatisticsGeometric Construction
This example dynamically demonstrates Mean Squared Distance (MSD) and Root Mean Square Deviation (RMSD), key measures of data spread. It involves core math concepts like Standard Deviation, Indefinite Integral, Rhombus, Confidence Interval, Pyramid, LCM and GCD. GeoGebra commands used include Point, Polygon, and Midpoint for constructing the visualization. Suitable for high school and above, focusing on quantitative spatial data analysis.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → E
  3. Point(xAxis) → D
  4. Point(xAxis) → C
  5. Point(xAxis) → B
  6. Polygon(M, A, A2, A3) → P, a1, a4, a2, a3
  7. Polygon(M, B, B2, B3) → Q, b4, b1, b2, b3
  8. Polygon(M, C, C2, C3) → R, c4, c1, c2, c3
  9. Polygon(M, D, D2, D3) → S, d4, d1, d2, d3
  10. Polygon(M, E, E2, E3) → T, e4, e1, e2, e3
  11. Polygon(M, S2, S3, S4) → U, s1, s2, s3, s4
  12. Midpoint(S3, S4) → S5