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随机数据最值与极差练习：统计特征

随机数据最值与极差练习：统计特征
几何画板及绘图内容加载中，请稍等……
2023-07-13 16:37
数列概率统计几何作图滑块动画函数图像
所属专题 Mittelmaße Mittelmaße berechnen und interpretieren
该范例展示如何在随机生成的一组数据中计算并解释最小值、最大值以及极差（最大值减最小值）。核心数学概念包括统计特征：数据列表的无序与排序、minimum/maximum 的确定、range（极差）及其含义解释。作图与交互要点：利用 Shuffle 随机打乱月份对应数据，借助 Min 与 Max 从数据列表中求出最小值与最大值，再用 range 计算极差；用 Textfield 提供输入并与 correct1/correct2/correct3 进行核对；通过 Polygon 与 Append 组织图形元素，并用 Remove/Element/First/Last 管理动态对象；用 Defined、IsInteger 保证数据与输入的可定义性与整数约束；颜色对象 Blue/Green/Orange/Red/Purple 用于区分不同元素或步骤，帮助学生可视化统计量的对应位置。适合用于5-6年级（约小学中高段）概率与统计的练习：训练数据处理与统计量解释能力，也可作为课堂作业或小组探究活动。

GeoGebra 命令及参数

  1. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random12Monat, {8, 22, 28, 25, 43, 11, 19, 40, 25, 41, 37, 7, 8, 8, 32, 21, 48, 24, 43, 24, 22, 27, 45, 40, 10, 32, 34, 9, 9, 19, 14, 9, 5, 11, 44, 21, 26, 46, 3, 31, 47, 4, 27, 19, 21, 19, 20, 50, 23, 5, 13, 8, 32, 9, 10, 40, 0, 32, 1, 5, 46, 23, 46, 36, 0, 25, 30, 4, 50, 19, 14, 43, 5, 9, 47, 42, 40, 50, 31, 15, 33, 22, 5, 12, 32, 42, 48, 36, 0, 48, 5, 28, 33, 9, 34, 33, 31, 6, 11, 27}
  2. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random11Monat, {45, 14, 46, 28, 38, 49, 47, 26, 5, 16, 25, 22, 20, 19, 17, 46, 28, 15, 16, 33, 40, 1, 3, 19, 47, 11, 41, 29, 12, 8, 13, 40, 19, 49, 15, 45, 48, 39, 7, 6, 46, 7, 22, 32, 19, 8, 14, 38, 31, 25, 34, 50, 22, 34, 0, 26, 15, 46, 18, 30, 8, 26, 3, 36, 17, 12, 14, 43, 34, 11, 37, 17, 29, 19, 14, 28, 8, 35, 11, 50, 5, 29, 9, 13, 24, 5, 33, 40, 18, 5, 20, 45, 22, 13, 44, 45, 29, 4, 39, 23}
  3. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random10Monat, {19, 33, 21, 44, 37, 1, 8, 17, 11, 36, 20, 29, 14, 30, 17, 30, 3, 5, 49, 25, 37, 6, 37, 29, 29, 16, 33, 5, 1, 27, 33, 14, 28, 30, 6, 45, 9, 24, 32, 16, 28, 25, 41, 39, 49, 35, 29, 41, 27, 11, 45, 4, 17, 2, 6, 29, 26, 26, 23, 25, 50, 38, 44, 25, 34, 1, 30, 3, 39, 18, 1, 4, 23, 10, 28, 44, 49, 2, 8, 12, 44, 0, 34, 35, 34, 33, 19, 37, 30, 24, 40, 20, 0, 2, 20, 50, 23, 2, 37, 5}
  4. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random9Monat, {0, 39, 35, 20, 40, 27, 41, 33, 49, 31, 41, 28, 29, 7, 5, 26, 41, 16, 0, 37, 46, 28, 3, 35, 5, 26, 35, 40, 30, 0, 4, 27, 26, 17, 10, 2, 28, 9, 2, 8, 28, 27, 24, 29, 14, 16, 15, 26, 29, 18, 5, 18, 37, 21, 29, 37, 23, 30, 9, 13, 43, 32, 48, 0, 22, 32, 29, 36, 5, 32, 8, 6, 29, 30, 40, 50, 6, 45, 12, 26, 20, 14, 15, 46, 5, 15, 42, 50, 46, 41, 42, 21, 10, 48, 37, 35, 41, 31, 32, 21}
  5. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random8Monat, {3, 30, 14, 41, 8, 21, 16, 4, 23, 32, 4, 30, 35, 30, 3, 15, 26, 18, 42, 10, 6, 41, 27, 24, 34, 5, 43, 50, 8, 8, 40, 27, 20, 32, 31, 6, 17, 22, 40, 17, 34, 20, 17, 47, 35, 37, 25, 3, 48, 26, 37, 20, 18, 29, 35, 3, 8, 47, 0, 15, 48, 17, 23, 30, 47, 47, 9, 19, 29, 28, 21, 27, 2, 29, 26, 9, 20, 5, 12, 46, 9, 45, 50, 18, 36, 31, 45, 6, 48, 26, 46, 11, 8, 7, 43, 46, 38, 8, 27, 12}
  6. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random7Monat, {16, 31, 18, 45, 24, 10, 7, 3, 41, 0, 10, 12, 39, 15, 7, 4, 12, 20, 43, 4, 10, 28, 35, 30, 35, 43, 33, 4, 24, 10, 36, 28, 25, 38, 40, 28, 48, 48, 33, 10, 37, 21, 26, 45, 50, 27, 17, 20, 31, 33, 48, 23, 34, 5, 44, 40, 41, 30, 10, 46, 8, 45, 41, 27, 46, 13, 50, 39, 26, 33, 24, 12, 22, 30, 42, 44, 35, 36, 20, 10, 29, 27, 31, 29, 43, 44, 10, 12, 14, 6, 14, 23, 19, 39, 49, 12, 20, 7, 40, 22}
  7. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random6Monat, {5, 43, 22, 29, 18, 6, 44, 18, 44, 22, 43, 24, 6, 14, 25, 23, 35, 14, 46, 10, 5, 49, 34, 17, 49, 35, 16, 18, 40, 43, 6, 31, 16, 16, 0, 3, 27, 5, 50, 28, 48, 39, 15, 49, 33, 19, 25, 4, 21, 6, 49, 9, 28, 17, 18, 45, 16, 6, 34, 48, 17, 25, 16, 49, 31, 30, 13, 8, 41, 21, 26, 42, 16, 20, 35, 46, 27, 40, 6, 30, 35, 23, 50, 32, 46, 41, 12, 22, 27, 44, 15, 48, 44, 42, 35, 35, 38, 14, 17, 32}
  8. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random5Monat, {7, 50, 36, 2, 15, 29, 22, 49, 39, 15, 46, 4, 32, 39, 16, 39, 2, 0, 14, 43, 36, 47, 36, 12, 38, 23, 28, 40, 38, 34, 24, 7, 46, 6, 17, 44, 10, 16, 50, 27, 30, 49, 0, 20, 21, 19, 32, 48, 37, 35, 0, 10, 9, 39, 49, 48, 28, 22, 32, 6, 19, 33, 45, 27, 3, 23, 21, 38, 0, 40, 13, 44, 31, 38, 27, 11, 9, 11, 1, 31, 28, 11, 4, 45, 0, 38, 30, 2, 8, 40, 33, 24, 36, 11, 22, 12, 25, 27, 20, 10}
  9. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random4Monat, {29, 2, 6, 17, 43, 45, 11, 5, 46, 37, 13, 32, 11, 33, 0, 38, 36, 29, 8, 5, 21, 25, 32, 41, 49, 46, 35, 12, 43, 21, 16, 36, 7, 1, 1, 48, 22, 13, 24, 1, 1, 10, 46, 32, 22, 23, 20, 27, 35, 16, 8, 27, 1, 41, 24, 27, 29, 40, 21, 34, 39, 39, 39, 23, 41, 9, 5, 8, 23, 42, 50, 47, 17, 43, 42, 7, 12, 15, 19, 37, 10, 4, 15, 12, 2, 5, 18, 46, 35, 23, 6, 12, 22, 8, 13, 6, 37, 24, 20, 29}
  10. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random3Monat, {11, 8, 29, 43, 31, 6, 32, 0, 39, 0, 24, 5, 0, 13, 8, 7, 18, 13, 11, 38, 47, 7, 4, 35, 27, 7, 49, 43, 15, 49, 47, 27, 49, 34, 44, 15, 26, 22, 39, 7, 3, 22, 40, 11, 18, 19, 26, 48, 15, 24, 19, 13, 33, 9, 43, 13, 21, 8, 42, 22, 49, 4, 12, 39, 8, 0, 20, 1, 40, 0, 25, 30, 27, 4, 31, 50, 10, 35, 8, 24, 3, 41, 29, 2, 19, 39, 38, 11, 5, 14, 41, 24, 25, 42, 4, 3, 18, 31, 38, 43}
  11. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random2Monat, {36, 24, 22, 9, 39, 20, 9, 5, 44, 13, 7, 4, 1, 22, 43, 20, 31, 42, 21, 33, 23, 41, 0, 11, 17, 33, 50, 23, 36, 2, 15, 45, 25, 31, 42, 33, 26, 23, 27, 36, 1, 26, 26, 3, 35, 5, 15, 9, 7, 2, 12, 5, 28, 4, 19, 17, 50, 27, 50, 37, 25, 7, 37, 48, 34, 27, 12, 48, 9, 14, 2, 33, 47, 25, 33, 2, 27, 17, 12, 35, 43, 18, 44, 20, 8, 16, 30, 13, 42, 25, 46, 41, 37, 1, 2, 0, 12, 40, 45, 5}
  12. Shuffle(Sequence[Random[0, 50], i, 1, 100]) → random1Monat, {19, 20, 42, 50, 49, 26, 12, 14, 39, 44, 0, 28, 45, 46, 47, 49, 46, 40, 19, 42, 2, 48, 29, 4, 37, 50, 15, 48, 2, 38, 23, 4, 17, 7, 13, 11, 41, 5, 49, 1, 36, 19, 4, 19, 36, 32, 1, 34, 19, 49, 37, 11, 38, 3, 36, 48, 28, 4, 34, 1, 13, 5, 6, 27, 42, 32, 31, 8, 15, 48, 26, 21, 38, 27, 7, 33, 40, 23, 6, 0, 8, 46, 34, 11, 19, 7, 48, 43, 44, 38, 7, 46, 35, 7, 48, 26, 14, 35, 41, 21}
  13. Max(listAllMonths) → max
  14. Min(listAllMonths) → min
  15. Textfield(input1) → InputBox1
  16. Textfield(input2) → InputBox2
  17. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  18. Append(true, Sequence[If[random1Monat(i) ≟ random1Monat(i - 1), false, true], i, 2, 100]) → stayX
  19. Append(true, Sequence[If[random2Monat(i) ≟ random2Monat(i - 1), false, true], i, 2, 100]) → stayY
  20. Remove(Sequence[If[stayX(i), random1Monat(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  21. Remove(Sequence[If[stayY(i), random2Monat(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  22. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  23. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  24. Defined(((input1 * input2) * input3)) → fixed
  25. Textfield(input3) → InputBox3
  26. First(listAllMonths) → listFirstElement
  27. Last(listAllMonths) → listLastElement
  28. IsInteger(num1) → integer1
  29. IsInteger(num2) → integer2
  30. IsInteger(num3) → integer3
  31. IsInteger(num4) → integer4
  32. IsInteger(num5) → integer5
  33. IsInteger(num6) → integer6
  34. IsInteger(num7) → integer7
  35. IsInteger(num8) → integer8
  36. IsInteger(num9) → integer9
  37. IsInteger(num10) → integer10
  38. IsInteger(num11) → integer11
  39. IsInteger(num12) → integer12
  40. IsInteger(min) → integerMin
  41. IsInteger(max) → integerMax
  42. IsInteger(range) → integerRange
  43. Max(allMonths) → maxAllMonths
  44. Min(allMonths) → minAllMonths

AI 绘图提示语参考

绘制一个随机生成的数据集，展示其最小值、最大值和范围。首先生成12个月的数据，然后计算每个数据集的最小值、最大值和范围。接着，使用文本框输入学生计算的结果，并与正确答案进行比较。最后，通过多边形和文本框展示数据的最小值和最大值。
以上提示语为根据原始绘图命令整理而来，仅供参考。