直方图构建范例

直方图构建范例
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2015-08-13 02:54
①本范例演示了如何通过数据构建直方图,直观展示数据分布情况;②涉及的核心数学概念包括数据分组、频率统计、条形图绘制;③作图要点:运用了Element, Sequence, Min, Max, If, KeepIf, Sort, CountIf, Append, Segment, Sum, VerticalText等GeoGebra命令与对象;④适合高中数学教学,用于概率统计入门及数据处理实践。

GeoGebra 命令及参数

  1. Element(AccSq, Data) → Acc
  2. Element(RtSq, Mod[Seed, 8] + 1) → Rate
  3. Sequence(Mod[(Rate * k) + Start, 20] + 1, k, 0, 19, 1) → OptSq
  4. Element(DtSq, Data) → Dt0
  5. Sequence(Element[Dt0, Element[OptSq, k]], k, 1, Size) → SmpSq
  6. Min(SmpSq) → DtMn
  7. Max(SmpSq) → DtMx
  8. If(C0 ≤ UB, C0, If[C1 ≤ UB, C1, If[C2 ≤ UB, C2, If[C3 ≤ UB, C3, C4]]]) → ClsWd
  9. Sequence(DtMn + (k * ClsWd), k, 0, NoCls - 1) → LCL
  10. Element(LCL, 2) → LCL2
  11. If(C0 ≤ UB, 0, If[C1 ≤ UB, 0, If[C2 ≤ UB, 1, If[C3 ≤ UB, 2, 3]]]) → CWAcc
  12. Max(Acc, CWAcc) → CnAcc
  13. Sequence(UCL1 + (ClsWd * k), k, 0, NoCls - 1) → UCL
  14. Sequence(CountIf[Element[LCL, k] ≤ x ≤ Element[UCL, k], SmpSq], k, 1, NoCls) → FrqSq
  15. Max(FrqSq) → MxFrq
  16. Sequence(TbTp - k, k, 0, 3) → TbLHSq
  17. Element(TbLHSq, 3) → TbLH2
  18. Element(TbLHSq, 1) → TbLH0
  19. Element(TbLHSq, 4) → TbLH3
  20. Element(TbLHSq, 2) → TbLH1
  21. Element(LCL, 1) → HAxMn
  22. Element(PlcSq, Data) → DP
  23. Sequence(k, k, 1, 19) → StrtSq
  24. KeepIf(floor(20 / x) ≠ 20 / x, StrtSq) → RlPrmSq
  25. Sequence(Element[SmpSq, k], k, 1, RwLn1) → DtRw1
  26. Sequence(Element[SmpSq, k], k, RwLn1 + 1, Size) → DtRw2
  27. Element(DDSq, Data) → DD0
  28. Sort(SmpSq) → SortSq
  29. CountIf(x > 0, RtSq) → RateNo
  30. Element(SclSq, Data) → Scale
  31. Element(TSSq, Data) → TS
  32. Sequence(If[k > 1, " + ", " "], k, 1, NoCls) → PlsSq
  33. Sequence(" = ", k, 1, NoCls) → EqlSq
  34. Sequence(DtMn + (k * ClsWd), k, 0, NoCls - 2) → LCLCn1
  35. Append(DtMn, LCLCn1) → LCLCn2
  36. Sequence(ClsWd, k, 1, NoCls - 1) → CWSq1
  37. Append(" ", CWSq1) → CWSq2
  38. Sequence(UCL1 + (ClsWd * k), k, 0, NoCls - 2) → UCLCn1
  39. Append(UCL1, UCLCn1) → UCLCn2
  40. Sequence("to", k, 1, NoCls) → ToSq
  41. Sequence(If[Element[FrqSq, j] > 0, Sequence["|", k, 1, Element[FrqSq, j]], {" "}], j, 1, NoCls) → Tly
  42. Element(LCL, 1) → LCL1
  43. Segment(TbML, TbLR) → tbmd
  44. Segment(TbLL, TbMR) → tbbt
  45. Segment(TbUL, TbUR) → tbtp
  46. Sum(FrqSq) → ChkSz
  47. CountIf(x ≠ (0, 0), Dt0) → DtCnt
  48. Sequence(Segment[(TbLf + (CllWd * k), TbLH0), (TbLf + (CllWd * k), TbLH2)], k, 0, RwLn2) → TbVLn
  49. If(Mod[Size, 2] ≟ 1, Segment[TbLR, TbUR], Segment[TbMR, TbUR]) → tbrg
  50. Segment(GLL, GLR) → hax
  51. Segment(GUL, GLL) → vax
  52. Sequence(Segment[(GL - 0.3, VAdp(k)), (GL, VAdp(k))], k, 0, VAxMx) → VTc
  53. Sequence(Segment[(HAdp(k), GB), (HAdp(k), VAdp(Max[Element[FrqSq, k], Element[FrqSq, k + 1]]))], k, 1, NoCls - 1) → BrSd
  54. Segment((GR, GB), (GR, VAdp(Element[FrqSq, NoCls]))) → rgsd
  55. Sequence(Segment[(HAdp(k - 1), VAdp(Element[FrqSq, k])), (HAdp(k), VAdp(Element[FrqSq, k]))], k, 1, NoCls) → BrTp
  56. Sequence(Text[DtMn + (k * ClsWd), (HAdp(k) - 0.3, GB - 0.9)], k, 0, NoCls) → HAxNmSq
  57. VerticalText("Frequency") → VAxTtl
  58. Element(TtlSq, Data) → Ttl
  59. Element(HALSq, Data) → HAL
  60. Sequence(Text[k, (GL - 1.4, VAdp(k) - 0.3)], k, 0, VAxMx, VScl) → VAxNmSq
  61. Sequence(Text[Element[LCL, k], (FDLf + 0.3, DLTp - (0.9 * k))], k, 1, NoCls) → LCLTxt2
  62. Sequence(Text[Element[FrqSq, k], (FDLf + 8.4, DLTp - (0.9 * k))], k, 1, NoCls) → FrqTxt
  63. Sequence(Text[Element[DtRw2, k], (TbLf - 2.2 + (k * CllWd), TbLH2 + 0.15)], k, 1, RwLn2) → TxtRw2
  64. Sequence(Text[Element[DtRw1, k], (TbLf - 2.2 + (k * CllWd), TbLH1 + 0.15)], k, 1, RwLn1) → TxtRw1
  65. Sequence(Text[Element[UCL, k], (FDLf + 3.9, DLTp - (0.9 * k))], k, 1, NoCls) → UCLTxt2
  66. Sequence(Text[Element[ToSq, k], (FDLf + 2.8, DLTp - (0.9 * k))], k, 1, NoCls) → ToTxt
  67. Sequence(Segment[(HAdp(k), GB), (HAdp(k), GB + 0.1)], k, 1, NoCls - 1) → HTc

AI 绘图提示语参考

绘制一个直方图构造示例。从一组随机样本数据出发,计算最小值与最大值,确定合适的组宽,并据此生成若干连续的区间(下界与上界)。统计每个区间内的数据频数,用垂直柱条表示频数高低,柱条高度对应频数。同时绘制一个频数分布表,包含区间范围、频数计数和条形图示,表格带有边框线。整体展示数据分布形态,并标注总频数校验。
以上提示语为根据原始绘图命令整理而来,仅供参考。