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What Number is Missing?

What Number is Missing?
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2022-08-08 17:03
Probability & Statistics
In collections Mittelmaße
This example focuses on missing numbers in statistics, involving arithmetic mean, mode, and median. Using commands like If, Textfield, Polygon, Shuffle, etc., from the construction summary, it dynamically shows the impact of missing numbers on statistical characteristics. Suitable for students in grades 5-6.

GeoGebra Commands & Parameters

  1. If(questionCount ≟ 1, 9, If[questionCount ≟ 2, 10, If[questionCount ≟ 3, 6, If[questionCount ≟ 4, 6, If[questionCount ≟ 5, 5, If[questionCount ≟ 6, 15, If[questionCount ≟ 7, 9, If[questionCount ≟ 8, 3]]]]]]]) → sol
  2. Textfield(aInput) → InputBox1
  3. Textfield(bInput) → InputBox2
  4. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, ptopleftcornerfeedback, ptoprightcornerfeedback, pbottomrightcornerfeedback, pbottomleftcornerfeedback
  5. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {10, 10, 0, 7, 8, 0, 2, 10, 4, 1, 2, 5, 5, 6, 0, 5, 5, 4, 1, 3, 9, 0, 6, 8, 3, 2, 3, 1, 9, 4, 0, 4, 0, 10, 8, 3, 5, 1, 3, 7, 9, 3, 7, 9, 6, 3, 3, 10, 7, 4, 3, 0, 10, 3, 7, 3, 6, 9, 6, 3, 4, 3, 8, 4, 8, 6, 1, 4, 4, 3, 6, 1, 5, 5, 6, 9, 7, 2, 5, 8, 0, 1, 1, 4, 10, 0, 0, 8, 4, 1, 6, 8, 9, 4, 8, 9, 7, 7, 1, 1}
  6. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {8, 6, 7, 9, 6, 4, 1, 5, 7, 2, 0, 5, 0, 10, 10, 5, 7, 1, 6, 10, 1, 1, 6, 5, 2, 4, 0, 9, 5, 6, 1, 7, 10, 9, 5, 7, 3, 4, 4, 7, 2, 4, 9, 1, 5, 9, 3, 5, 9, 2, 0, 2, 2, 10, 2, 1, 2, 6, 0, 9, 1, 2, 9, 5, 2, 10, 10, 1, 9, 7, 5, 4, 0, 3, 2, 8, 6, 6, 2, 8, 2, 8, 8, 0, 6, 5, 7, 7, 4, 2, 6, 8, 8, 10, 2, 9, 8, 6, 1, 2}
  7. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  8. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  9. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  10. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  11. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  12. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  13. Defined(aInput) → fixed
  14. Element(randomNosForX, Mod[questionCount, 100] + 1) → numY
  15. If(questionCount ≟ 1, 5, If[questionCount ≟ 2, 7, If[questionCount ≟ 3, 9, If[questionCount ≟ 4, 11, If[questionCount ≟ 5, 4, If[questionCount ≟ 6, 8, If[questionCount ≟ 7, 12, If[questionCount ≟ 8, 3]]]]]]]) → arithmM

AI Drawing Prompt Reference

Draw a statistical chart showing the impact of missing numbers on arithmetic mean, mode, and median. The chart includes a rectangle filled with random numbers between 0 and 10, a filtered sequence of unique numbers, and statistical measures (mean, mode, median). Construction order: generate random numbers, filter duplicates, compute statistics.
The prompt above was compiled from the original drawing commands and is for reference only.