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Standard Score Comparisons

Standard Score Comparisons
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2018-07-25 02:29
FunctionSequenceProbability & Statistics
This example demonstrates the comparison of standard scores, involving the concept of standard scores in statistics. Users can observe the distribution of standard scores for different data sets using GeoGebra commands such as Sequence, Element, and If. Suitable for high school and above students or teachers to understand the application of standard scores in statistical analysis.

GeoGebra Commands & Parameters

  1. Sequence(afn(k), k, -2.3, 2.3, 0.2) → AFnSq, {-2.3, -2.0999999999999996, -1.8999999999999997, -1.6999999999999997, -1.4999999999999998, -1.2999999999999998, -1.0999999999999999, -0.8999999999999999, -0.7, -0.49999999999999994, -0.29999999999999993, -0.09999999999999992, 0.10000000000000009, 0.3000000000000001, 0.5000000000000001, 0.7000000000000002, 0.9000000000000001, 1.1, 1.3, 1.5, 1.7, 1.9, 2.1, 2.3000000000000003}
  2. Sequence(bfn(k), k, -2.3, 2.3, 0.2) → BFnSq, {-2.2, -2.2, -1.8, -1.8, -1.4000000000000001, -1.4000000000000001, -1.0000000000000002, -1.0000000000000002, -0.6000000000000001, -0.6000000000000001, -0.2, -0.2, 0.2, 0.2, 0.6000000000000001, 0.6000000000000001, 1, 1, 1.4000000000000001, 1.4000000000000001, 1.8, 1.8, 2.2, 2.2}
  3. Sequence(Mod[5 + (10 * k), 23] + 1, k, 0, 23) → OpSq, {6, 16, 3, 13, 23, 10, 20, 7, 17, 4, 14, 1, 11, 21, 8, 18, 5, 15, 2, 12, 22, 9, 19, 6}
  4. Element(OpSq, Mod[Seed, 24] + 1) → Op1
  5. Element(AFnSq, Op1) → AZ1
  6. Element(BFnSq, Op1) → BZ1
  7. Element(BSbSq, PrSt) → BSb
  8. Element(ASbSq, PrSt) → ASb
  9. Element(AMnSq, PrSt) → AAvg
  10. Element(ASDSq, PrSt) → AStDv
  11. Element(AAcSq, PrSt) → AAc
  12. If(AZ1 < 0, floor(((AAvg + (AZ1 * AStDv)) * ARF)) / ARF, ceil(((AAvg + (AZ1 * AStDv)) * ARF)) / ARF) → AVal
  13. Element(BMnSq, PrSt) → BAvg
  14. Element(BSDSq, PrSt) → BStDv
  15. Element(BAcSq, PrSt) → BAc
  16. If(BZ1 < 0, Min[ceil(((BAvg + (BZ1 * BStDv)) * BRF)) / BRF, BAvg - BRF], Max[floor(((BAvg + (BZ1 * BStDv)) * BRF)) / BRF, BAvg + BRF]) → BVal
  17. If(AZ2 > BZ2, ASb, BSb) → Wnr
  18. If(AZ2 > BZ2, BSb, ASb) → Lsr
  19. If(AZ2 > BZ2, BZ2, AZ2) → LZ
  20. If(AZ2 > BZ2, AZ2, BZ2) → WZ
  21. If(AbsLZ ≟ 1, "", "s") → plrtx1
  22. Element(PSSq, PrSt) → PS0
  23. If(AbsWZ ≟ 1, "", "s") → plrtx2
  24. If(WZ > 0, PsEx, NgEx) → Exp
  25. Element(AnSq, PrSt) → An0
  26. Sequence(Element[AFnSq, k] - Element[BFnSq, k], k, 1, 24) → DffSq, {-0.09999999999999964, 0.10000000000000053, -0.09999999999999964, 0.10000000000000031, -0.09999999999999964, 0.10000000000000031, -0.09999999999999964, 0.10000000000000031, -0.09999999999999987, 0.10000000000000014, -0.09999999999999992, 0.10000000000000009, -0.09999999999999992, 0.10000000000000009, -0.09999999999999998, 0.10000000000000009, -0.09999999999999987, 0.10000000000000009, -0.10000000000000009, 0.09999999999999987, -0.10000000000000009, 0.09999999999999987, -0.10000000000000009, 0.10000000000000009}
  27. Element(ClcSq, PrSt) → Clc0