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Center and Spread Exploration

Center and Spread Exploration
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2017-09-02 03:49
SequenceCoordinate GeometryProbability & Statistics
This example demonstrates the central tendency and spread of a dataset. Key mathematical concepts include mean, median, quartiles, and standard deviation. Using GeoGebra commands such as Mod, Sequence, and Mean, data sets can be constructed and their statistical properties analyzed. Suitable for statistics and data analysis courses.

GeoGebra Commands & Parameters

  1. Mod(10 + (37 * seed), 80) → Nmbr1
  2. Sequence(RandomPoisson[seed], k, 1, size) → Dt1
  3. Max(Dt1) → DtMx1
  4. Min(Dt1) → DtMn1
  5. Sequence(k, k, DtMn1 - 10, DtMx1 + 10) → Dmn
  6. Sequence(k, k, DtMn1, DtMx1) → DmnMd
  7. Append(Append[Dt1, DtMn2], DtMx2) → Dt2
  8. Union(Intersection[Dt1, DmnMd], {DtMn2, DtMx2}) → DtExt
  9. Sort(Intersection[Dmn, DtExt]) → Rng
  10. CountIf(x < DtMx2 + 1, Rng) → RngCnt
  11. Sequence(CountIf[x ≟ Element[Rng, k], Dt2], k, 1, RngCnt) → FrqSq
  12. Segment(LE, RE) → haxis
  13. Sequence((Element[Rng, k], Element[FrqSq, k]), k, 1, RngCnt) → Dts1
  14. Sequence(Sequence[(adp(Element[Rng, k]), 0.02 + (0.03 * j)), j, 1, Element[FrqSq, k]], k, 1, RngCnt) → Dts2
  15. Sequence(Segment[((k * AxScl), -0.01), ((k * AxScl), 0.01)], k, 0, AxRE - AxLE, 5) → HTcs
  16. Sequence(Text[k, (adp(k) - 1, -0.08)], k, AxLE, AxRE, 10) → HAxLbl
  17. If(MinOrMax ≟ 1, "minimum", "maximum") → MnOrMx
  18. If(DownOrUp ≟ 1, "decreases", "increases") → DnOrUp
  19. Mean(Dt2) → DtAvg
  20. Median(Dt2) → DtQ2
  21. Q1(Dt2) → DtQ1
  22. Q3(Dt2) → DtQ3
  23. SampleSD(Dt2) → DtSD
  24. If(DownOrUp ≟ 1, "increases", "decreases") → UpOrDn
  25. If(MinOrMax ≟ 1, If[DownOrUp ≟ 1, "increases", "decreases"], If[DownOrUp ≟ 1, "decreases", "increases"]) → SpCh

AI Drawing Prompt Reference

Create a statistical characteristics graph of a dataset, including the maximum, minimum, median, quartiles, and standard deviation. First, generate a random dataset, then find the maximum and minimum values of the dataset, next draw the range of the dataset, calculate and mark the median, quartiles, and standard deviation, and finally show the distribution of the data.
The prompt above was compiled from the original drawing commands and is for reference only.