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AQR Section 17: Where's the Mean?

AQR Section 17: Where's the Mean?
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2012-07-02 05:57
Probability & StatisticsGraphing
In collections Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Numeracy Practice
This example demonstrates estimating the mean of data in a boxplot by dragging a red point. Core concepts include arithmetic mean, boxplots, and statistics. Constructed using commands like RandomUniform, Segment, Mean, BoxPlot, CurveCartesian, Point, and Polygon, suitable for high school students learning statistics and data analysis.

GeoGebra Commands & Parameters

  1. RandomUniform(1, 20) → A1
  2. Segment((0, 2), (20, 2)) → h
  3. Segment((0, 6), (20, 6)) → g
  4. RandomUniform(1, 20) → B1
  5. RandomUniform(1, 20) → A2
  6. RandomUniform(1, 20) → B2
  7. RandomUniform(1, 20) → A3
  8. RandomUniform(1, 20) → B3
  9. RandomUniform(1, 20) → A4
  10. RandomUniform(1, 20) → B4
  11. RandomUniform(1, 20) → A5
  12. RandomUniform(1, 20) → B5
  13. RandomUniform(1, 20) → A6
  14. RandomUniform(1, 20) → B6
  15. RandomUniform(1, 20) → A7
  16. RandomUniform(1, 20) → B7
  17. RandomUniform(1, 20) → A8
  18. RandomUniform(1, 20) → B8
  19. RandomUniform(1, 20) → A9
  20. RandomUniform(1, 20) → B9
  21. RandomUniform(1, 20) → A10
  22. RandomUniform(1, 20) → B10
  23. RandomUniform(1, 20) → A11
  24. RandomUniform(1, 20) → B11
  25. RandomUniform(1, 20) → A12
  26. RandomUniform(1, 20) → B12
  27. RandomUniform(1, 20) → A13
  28. RandomUniform(1, 20) → B13
  29. RandomUniform(1, 20) → A14
  30. RandomUniform(1, 20) → B14
  31. RandomUniform(1, 20) → A15
  32. RandomUniform(1, 20) → B15
  33. RandomUniform(1, 20) → A16
  34. RandomUniform(1, 20) → B16
  35. RandomUniform(1, 20) → A17
  36. RandomUniform(1, 20) → B17
  37. RandomUniform(1, 20) → A18
  38. RandomUniform(1, 20) → B18
  39. RandomUniform(1, 20) → A19
  40. RandomUniform(1, 20) → B19
  41. RandomUniform(1, 20) → A20
  42. RandomUniform(1, 20) → B20
  43. Mean(list1) → mean1
  44. Mean(list2) → mean2
  45. BoxPlot(2, 1, list2) → b
  46. CurveCartesian(mean2, t, t, 1, 3) → d
  47. BoxPlot(6, 1, list1) → a
  48. Point(g) → A
  49. Point(h) → B
  50. CurveCartesian(mean1, t, t, 5, 7) → c
  51. CurveCartesian(x(A), t, t, 5, 7) → e
  52. CurveCartesian(x(B), t, t, 1, 3) → f
  53. Segment((20.05, 0), (100, 0)) → i
  54. Polygon(J, K, L, M) → poly1, j, k, l, m

AI Drawing Prompt Reference

Create a box plot with 20 randomly uniformly distributed points and mark their mean. First, draw two horizontal lines on the x-axis, then generate 20 random numbers between 1 and 20 as the y-coordinates of the points, plot these points, calculate the mean of all points, and mark this mean on the x-axis.
The prompt above was compiled from the original drawing commands and is for reference only.