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Exploring Mean and Median by Andrew Knauft

Exploring Mean and Median by Andrew Knauft
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2017-06-26 11:42
Function
This example demonstrates the calculation and visualization of mean and median through dynamic coordinates. It involves core math concepts like mean, median, statistics, straight lines, hypothesis testing, correlation, and logarithmic functions. Construction highlights the use of GeoGebra commands/objects such as Point, DynamicCoordinates, and dynamic points A, D, C, B, E, F, G, H, I, J, K, L. Suitable for high school and above learners to understand data statistics and geometric relationships.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → D
  3. Point(xAxis) → C
  4. Point(xAxis) → B
  5. Point(xAxis) → E
  6. Point(xAxis) → F
  7. Point(xAxis) → G
  8. Point(xAxis) → H
  9. Point(xAxis) → I
  10. Point(xAxis) → J
  11. Point(xAxis) → K
  12. Point(xAxis) → L
  13. DynamicCoordinates(A, x(A), CountIf[x(A) ≟ x(P), P, {B, C, D, E, F, G, H, I, J, K, L}]) → A_d
  14. DynamicCoordinates(B, x(B), CountIf[x(B) ≟ x(P), P, {C, D, E, F, G, H, I, J, K, L}]) → B_d
  15. DynamicCoordinates(C, x(C), CountIf[x(C) ≟ x(P), P, {D, E, F, G, H, I, J, K, L}]) → C_d
  16. DynamicCoordinates(D, x(D), CountIf[x(D) ≟ x(P), P, {E, F, G, H, I, J, K, L}]) → D_d
  17. DynamicCoordinates(E, x(E), CountIf[x(E) ≟ x(P), P, {F, G, H, I, J, K, L}]) → E_d
  18. DynamicCoordinates(F, x(F), CountIf[x(F) ≟ x(P), P, {G, H, I, J, K, L}]) → F_d
  19. DynamicCoordinates(G, x(G), CountIf[x(G) ≟ x(P), P, {H, I, J, K, L}]) → G_d
  20. DynamicCoordinates(H, x(H), CountIf[x(H) ≟ x(P), P, {I, J, K, L}]) → H_d
  21. DynamicCoordinates(I, x(I), CountIf[x(I) ≟ x(P), P, {J, K, L}]) → I_d
  22. DynamicCoordinates(J, x(J), CountIf[x(J) ≟ x(P), P, {K, L}]) → J_d
  23. DynamicCoordinates(K, x(K), CountIf[x(K) ≟ x(P), P, {L}]) → K_d
  24. DynamicCoordinates(L, x(L), 0) → L_d