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Frequency and Relative Frequency Distributions

Frequency and Relative Frequency Distributions
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2020-04-24 14:37
Probability & StatisticsGraphing
This example demonstrates how to create frequency and relative frequency histograms using GeoGebra, involving core concepts like data statistics, frequency distribution, and relative frequency calculation. Key GeoGebra commands and objects used include Sequence, Element, Mod, CountIf, Segment, Remove, Text, along with mathematical objects like square roots, cube roots, and various data-related elements. It is suitable for high school students and teachers learning probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(If[k < 56, If[k < 20, If[k < 8, 1, 2], 3], 4], k, 1, 100) → Sq3
  2. Sequence(If[k < 71, If[k < 39, If[k < 26, If[k < 13, 1, 2], 3], 4], 5], k, 1, 100) → Sq2
  3. Sequence(If[k < 97, If[k < 90, If[k < 79, If[k < 53, 1, 2], 3], 4], 5], k, 1, 100) → Sq1
  4. Sequence(If[k < 80, If[k < 45, If[k < 40, If[k < 25, If[k < 12, If[k < 7, 1, 2], 3], 4], 5], 6], 7], k, 1, 100) → Sq4
  5. Element(RtSq, Mod[Seed, 13] + 1) → Rate
  6. Mod(Seed, 7) → Start
  7. Element(DataSq, DtNm) → DataMeas
  8. Sequence(Element[DataMeas, Mod[Start + (Rate * k), 100] + 1], k, 1, Size) → DataA
  9. CountIf(x ≟ 7, DataA) → Frq7
  10. CountIf(x ≟ 6, DataA) → Frq6
  11. CountIf(x ≟ 5, DataA) → Frq5
  12. CountIf(x ≟ 4, DataA) → Frq4
  13. CountIf(x ≟ 3, DataA) → Frq3
  14. CountIf(x ≟ 2, DataA) → Frq2
  15. CountIf(x ≟ 1, DataA) → Frq1
  16. Element(DtCnvSq, DtNm) → DtCnv
  17. Sequence(Element[DtCnv, Element[DataA, k]], k, 1, Size) → DataB
  18. Sequence(Text[Element[DataB, k], (1 + ((k - 1) * CW), 13)], k, 1, 5) → DtRw1
  19. Sequence(Text[Element[DataB, k], (1 + ((k - 6) * CW), 12.5)], k, 6, 10) → DtRw2
  20. Sequence(Text[Element[DataB, k], (1 + ((k - 11) * CW), 12)], k, 11, 15) → DtRw3
  21. Segment((0.9, 13.35 - (4 * CH)), (0.9 + (SzNm * CW), 13.35 - (4 * CH))) → BtmLn
  22. Sequence(Segment[(0.9 + (k * CW), 13.35), (0.9 + (k * CW), If[SzNm ≥ k, 13.35 - (4 * CH), 13.35 - (3 * CH)])], k, 0, 5) → VrtLns
  23. Sequence(Text[Element[DataB, k], (1 + ((k - 16) * CW), 11.5)], k, 16, 15 + SzNm) → DtRw4
  24. Element(DtLng, DtNm) → CtNmA
  25. Sequence(If[Element[FrqSqA, k] > 0, Element[DtCnv, k], "?"], k, 1, CtNmA) → CtSqA
  26. Remove(CtSqA, {"?", "?", "?", "?", "?"}) → CtSqB
  27. CountIf(x ≠ 0, FrqSqA) → ClsCnt
  28. Remove(FrqSqA, {0, 0, 0, 0, 0, 0}) → FrqSqB
  29. Sequence(Element[FrqSqB, k] / Size, k, 1, ClsCnt) → RlFrqSq
  30. Sequence(Text[Element[CtSqB, k], (1.5, 8.3 - (k * CH))], k, 1, ClsCnt) → ClsTx
  31. Sequence(Segment[(0.9, 13.35 - (CH * k)), (0.9 + (5 * CW), 13.35 - (CH * k))], k, 0, 3) → HrzLns
  32. Sequence(Text[Element[FrqSqB, k], (3.6, 8.3 - (k * CH))], k, 1, ClsCnt) → FrqTx
  33. Text("Freq.", (3.5, 8.3)) → FrqLb
  34. Sequence(Text[Element[RlFrqSq, k], (4.7, 8.3 - (k * CH))], k, 1, ClsCnt) → RlFrqTx
  35. Sequence(Text[Element[FrqSqB, k], (6.1, 8.3 - (k * CH))], k, 1, ClsCnt) → RFClcSq
  36. Sequence(Text["/", (6.5, 8.3 - (k * CH))], k, 1, ClsCnt) → DvdSq
  37. Sequence(Text[Size, (6.65, 8.3 - (k * CH))], k, 1, ClsCnt) → SzSq

AI Drawing Prompt Reference

Create a statistical teaching chart with a frequency distribution table and corresponding histogram. Display raw data rows at the top, with numbers arranged in multiple lines. Below, a table lists class intervals, frequencies, relative frequencies (as fractions), and calculation steps. The histogram uses vertical segments to represent frequencies for each class, with a horizontal baseline at the bottom. The layout is clear, suitable for high school probability and statistics instruction.
The prompt above was compiled from the original drawing commands and is for reference only.