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Random Data: Minimum, Maximum & Range Statistics

Random Data: Minimum, Maximum & Range Statistics
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2023-07-13 16:37
SequenceProbability & StatisticsGeometric ConstructionSlider AnimationGraphing
In collections Mittelmaße Mittelmaße berechnen und interpretieren
This GeoGebra lesson demonstrates how to compute and interpret the minimum, maximum, and range (max − min) from a randomly generated data set. The key math ideas are probability & statistics concepts: handling data lists, determining min/max values, and understanding range as a measure of spread. Construction highlights include: using Shuffle to randomize the month-based data, Min and Max to extract minimum and maximum from the list, and range to calculate the spread; employing Textfield for student inputs and comparing them against correct1/correct2/correct3; building and managing graphical elements with Polygon, Append, Remove, Element, First, Last, and ensuring variables are Defined; using IsInteger to enforce integer constraints on generated or entered values. Colored objects (Blue/Green/Orange/Red/Purple) support visual differentiation of steps or elements. Suitable for grades 5–6 and classroom practice on data handling and statistical characteristic interpretation.

GeoGebra Commands & Parameters

  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 Drawing Prompt Reference

Create a graph of a randomly generated dataset to show its minimum, maximum, and range. First, generate data for 12 months, then calculate the minimum, maximum, and range for each dataset. Use text boxes to input students' calculations and compare them with the correct answers. Finally, display the minimum and maximum values using polygons and text boxes.
The prompt above was compiled from the original drawing commands and is for reference only.