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逐步学习修改后箱线图的构造

逐步学习修改后箱线图的构造
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2014-04-05 02:18
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所属专题 Statistics Step Through Applets
这个范例演示了如何一步步构造修改后的箱线图。①它通过交互式操作向学生展示箱线图的构建过程；②涉及的核心数学概念包括数据集分析、四分位数（Q1, Q3）、中位数、四分位距（IQR）和异常值处理；③在构造过程中用到了GeoGebra命令如Element, Sequence, Min, Max, If, Q3, Q1, Sort, Median, Intersection, CountIf, KeepIf, Segment, Midpoint, Union等，以及对象如DS1, DS2, DS3, DS4, dataset, QHi, QLo, IQR等；④适合高中数学学生学习和理解数据可视化及统计分析。

GeoGebra 命令及参数

  1. Element(DSSq, dataset) → DS0
  2. Element(PrmSq, seed) → Rate
  3. Sequence(Element[DS0, Mod[4 + (Rate * k), 20] + 1], k, 1, size) → Sample
  4. Min(Sample) → OldMin
  5. Max(Sample) → OldMax
  6. If((5 * SFLB) ≤ SFUB, (5 * SFLB), If[(2 * SFLB) ≤ SFUB, (2 * SFLB), SFLB]) → SF
  7. Element(AcSq, dataset) → Acc
  8. Q3(Sample) → QHi
  9. Q1(Sample) → QLo
  10. Sequence(k, k, OldMin, OldMax, Acc) → Domain
  11. Sort(Intersection[Domain, Sample]) → Range
  12. Median(Sample) → Med1
  13. Sequence(k, k, (ceil(LoFn / Acc) * Acc), (floor(UpFn / Acc) * Acc), Acc) → Middle
  14. Intersection(Sample, Middle) → GoodData
  15. Min(GoodData) → NewMin
  16. CountIf(x < LoFn, Range) → LfOtlrCntRng
  17. Max(GoodData) → NewMax
  18. CountIf(x > UpFn, Range) → RtOtlrCntRng
  19. KeepIf(x > UpFn, Range) → DmAbFn
  20. CountIf(x ≤ OldMax, Range) → RngCnt
  21. Segment(AxLE, AxRE) → axis
  22. Segment(NMinT, NMinB) → nwmin
  23. Midpoint(nwmin) → NMinM
  24. Segment(QLoT, QLoB) → qlo
  25. Segment(MedT, MedB) → med
  26. Midpoint(qlo) → QLoM
  27. Segment(NMinM, QLoM) → lfwh
  28. Segment(QHiT, QHiB) → qhi
  29. Segment(QLoT, QHiT) → boxtop
  30. Segment(QLoB, QHiB) → boxbot
  31. Segment(NMaxT, NMaxB) → nwmax
  32. Midpoint(nwmax) → NMaxM
  33. Midpoint(qhi) → QHiM
  34. Segment(QHiM, NMaxM) → rtwh
  35. KeepIf(x < LoFn, Range) → LfOtlrVls
  36. CountIf(x > UpFn, Sample) → RtOtlrCnt
  37. CountIf(x < LoFn, Sample) → LfOtlrCnt
  38. KeepIf(x < LoFn, Range) → DmBlFn
  39. Element(DDSq, dataset) → DD0
  40. Segment(TbUL, TbUR) → tbtp
  41. Segment(TbML, TbMR) → tbmd
  42. Segment(TbLL, TbLR) → tbbt
  43. Segment(TbUL, TbLL) → tblf
  44. Segment(TbUR, TbMR) → tbrt
  45. Sequence(Segment[(TbLf + (k * TbCW), TbTp), (TbLf + (k * TbCW), TbTp - (2 * TbCH))], k, 1, DtRL2) → TbDLSq
  46. Sequence(Text[k, (adp(k) - 1, AxHt - 0.07)], k, AxMin, AxMax, SF) → AxLbSq
  47. Sequence(Segment[(adp(k), AxHt + 0.01), (adp(k), AxHt - 0.01)], k, AxMin, AxMax, SF) → AxTcSq
  48. Sequence((adp(Element[DmAbFn, k]), AxHt + 0.2), k, 1, RtOtlrCntRng) → RtOtlr
  49. Sequence((adp(Element[LfOtlrVls, k]), AxHt + 0.2), k, 1, LfOtlrCntRng) → LfOtlrSq
  50. Sequence(Text[Element[Sample, k], (TbLf - 5 + (k * 6), TbTp - 0.08)], k, 1, DtRL1) → DRw1
  51. Sequence(Text[Element[Sample, k + DtRL1], (TbLf - 5 + (k * 6), TbTp - TbCH - 0.08)], k, 1, DtRL2) → DRw2
  52. If(QLo < 0, IQRNQL, IQRPQL) → IQRCmTx
  53. KeepIf(x > UpFn, Range) → RtOtlrVls
  54. Union(RtOtlrVls, LfOtlrVls) → Outliers
  55. Element(UntSq, dataset) → Unt0
  56. Element(TtlSq, dataset) → Ttl0

AI 绘图提示语参考

画一个修改后的箱线图，展示数据集分析、四分位数、中位数、四分位距和异常值处理。首先绘制数据点，确定最小值和最大值，然后找到四分位数和中位数，绘制箱体和须线，最后标记异常值。整个过程要体现箱线图的构建步骤。
以上提示语为根据原始绘图命令整理而来，仅供参考。