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IM 6.8.15 Lesson: Quartiles and Interquartile Range

IM 6.8.15 Lesson: Quartiles and Interquartile Range
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2020-08-18 18:39
FunctionProbability & StatisticsGeometric ConstructionGraphing
This example demonstrates how to construct quartile and interquartile range visualizations in GeoGebra, intuitively showing the dispersion of a data set and the positions of quantile points. Core mathematical concepts covered include the median, first quartile (Q1), third quartile (Q3), interquartile range (IQR), and statistical analysis based on box plots. The construction primarily uses GeoGebra Segment and Point commands, together with numerous point objects (A, B, C, D, etc.) and function objects (f, g, h, etc.) for geometric construction. This resource is suitable for middle school (grades 6–8) probability and statistics classroom instruction, teacher lesson preparation and demonstration, and independent student exploration of measures of dispersion.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(C, D) → g
  3. Segment(D, A) → h
  4. Segment(B, C) → i
  5. Point(f) → F
  6. Segment(E, F) → j
  7. Point(f) → G
  8. Segment(G, H) → k
  9. Point(g) → I
  10. Segment(I, J) → l
  11. Segment(K, L) → m
  12. Segment(M, N) → n
  13. Point(f) → O
  14. Segment(O, P) → p
  15. Point(g) → Q
  16. Point(f) → R
  17. Segment(Q, R) → q
  18. Point(g) → T
  19. Segment(S, T) → r
  20. Point(f) → V
  21. Segment(U, V) → s
  22. Segment(W, Z) → t
  23. Point(f) → B_1
  24. Segment(A_1, B_1) → a_{1}
  25. Point(f) → C_1
  26. Point(g) → D_1
  27. Segment(C_1, D_1) → b
  28. Point(f) → F_1
  29. Segment(E_1, F_1) → c
  30. Point(f) → G_1
  31. Point(g) → H_1
  32. Segment(G_1, H_1) → d
  33. Point(g) → I_1
  34. Point(f) → J_1
  35. Segment(I_1, J_1) → e
  36. Point(f) → K_1
  37. Point(g) → L_1
  38. Segment(K_1, L_1) → f_1
  39. Point(f) → N_1
  40. Segment(M_1, N_1) → g_1
  41. Point(f) → O_1
  42. Point(g) → P_1
  43. Segment(O_1, P_1) → h_1
  44. Segment(Q_1, R_1) → i_1
  45. Segment(A_2, B_2) → j_1
  46. Segment(Z_1, W_1) → k_1
  47. Segment(V_1, U_1) → l_1