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Pie Chart Construction and Statistics

Pie Chart Construction and Statistics
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2014-06-27 17:36
Probability & StatisticsGeometric ConstructionGraphing
This example demonstrates how to construct a pie chart using GeoGebra, illustrating fundamental statistical data representation methods. Key math concepts include Probability & Statistics, Rational Numbers, data categorization, and visualization. Construction highlights involve commands like Textfield, Sum, Length, Sequence, Append, Element, TableText, and BarChart, enabling data input and pie chart generation. Suitable for middle school and above, ideal for introductory statistics teaching or data visualization practice.

GeoGebra Commands & Parameters

  1. Textfield(Labels) → inputBox2
  2. Textfield(Values) → inputBox3
  3. Sum(Values) → S
  4. Length(Values) → l
  5. Sequence(360° * Element[Values, k] / S, k, 1, l) → Angles
  6. Sequence(Rotate[B, Sum[Take[Angles, 1, k]], A], k, 1, l - 1) → Points
  7. Append(Append[B, Points], B) → PointsPlus
  8. Sequence(CircleSector[A, Element[PointsPlus, k], Element[PointsPlus, k + 1]], k, 1, l) → Sectors
  9. Element(Sectors, 1) → Sect1
  10. Element(Sectors, 2) → Sect2
  11. Element(Sectors, 3) → Sect3
  12. Element(Sectors, 4) → Sect4
  13. Element(Sectors, 5) → Sect5
  14. Sequence(100 * Element[Values, k] / S, k, 1, l) → Per
  15. Length(Labels) → m
  16. Sequence(i, i, 2, 2 * l, 2) → list1
  17. Append("x_i", Labels) → Labels1
  18. Append("n_i", Values) → Values1
  19. Append("φ_i", Angles) → Angles1
  20. Append("f_i%", Per) → Per1
  21. TableText({Labels1, Values1, Angles1, Per1}, "vc") → text3
  22. BarChart(0.7, 2.8, {Element[Per, 1]}) → b
  23. BarChart(2.8, 4.9, {Element[Per, 2]}) → c
  24. BarChart(4.9, 7, {Element[Per, 3]}) → d
  25. BarChart(7, 9.1, {Element[Per, 4]}) → e
  26. BarChart(9.1, 11.2, {Element[Per, 5]}) → f
  27. Sequence(Segment[(0, i), (25, i)], i, 5, 100, 5) → list2

AI Drawing Prompt Reference

Create a pie chart to display statistical data, input category labels and corresponding values, calculate the total and percentage for each category, then determine the angle for each sector in the pie chart based on percentages, draw sectors in different colors, and represent each category's percentage with a bar chart beside the pie chart, finally add a table below showing categories, values, angles, and percentages for clarity.
The prompt above was compiled from the original drawing commands and is for reference only.