Standard Deviation by Yoong Kheong

Standard Deviation by Yoong Kheong
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2014-08-25 11:51
This example illustrates the concept of standard deviation, which measures the spread of data around the mean. By constructing data points, calculating the mean, and plotting the data distribution, it demonstrates how to use GeoGebra commands such as Point, Line, and Mean to build a standard deviation graph. Suitable for middle school and above students to learn about data dispersion in statistics.

GeoGebra Commands & Parameters

  1. Point(xAxis) → Col_1
  2. Point(xAxis) → Col_2
  3. Point(xAxis) → Col_3
  4. Point(xAxis) → Col_4
  5. Point(xAxis) → Col_5
  6. Point(xAxis) → Col_6
  7. Point(xAxis) → Col_7
  8. Point(xAxis) → Col_8
  9. Point(xAxis) → Col_9
  10. Point(xAxis) → Col_{10}
  11. Line(Col_1, yAxis) → a
  12. Line(Col_2, yAxis) → b
  13. Line(Col_3, yAxis) → c
  14. Line(Col_4, yAxis) → d
  15. Line(Col_5, yAxis) → e
  16. Line(Col_6, yAxis) → f
  17. Line(Col_7, yAxis) → g
  18. Line(Col_8, yAxis) → h
  19. Line(Col_9, yAxis) → i
  20. Line(Col_{10}, yAxis) → j
  21. Point(a) → pt_1
  22. Point(b) → pt_2
  23. Point(c) → pt_3
  24. Point(d) → pt_4
  25. Point(e) → pt_5
  26. Point(f) → pt_6
  27. Point(g) → pt_7
  28. Point(h) → pt_8
  29. Point(i) → pt_9
  30. Point(j) → pt_{10}
  31. Mean(B2:B11) → B13
  32. Mean(C2:C11) → C13
  33. Intersect(a, k) → Inter_A
  34. Segment(Inter_A, pt_1) → seg_1
  35. Intersect(b, k) → Inter_B
  36. Intersect(d, k) → Inter_D
  37. Intersect(f, k) → Inter_F
  38. Intersect(h, k) → Inter_H
  39. Intersect(j, k) → Inter_J
  40. Segment(Inter_B, pt_2) → seg_2
  41. Segment(Inter_J, pt_{10}) → b_1
  42. Intersect(c, k) → Inter_C
  43. Intersect(e, k) → Inter_E
  44. Intersect(g, k) → Inter_G
  45. Intersect(i, k) → Inter_I
  46. Segment(Inter_C, pt_3) → seg_3
  47. Segment(Inter_D, pt_4) → seg_4
  48. Segment(Inter_E, pt_5) → seg_5
  49. Segment(Inter_F, pt_6) → seg_6
  50. Segment(Inter_G, pt_7) → seg_7
  51. Segment(Inter_H, pt_8) → seg_8
  52. Segment(Inter_I, pt_9) → seg_9
  53. Segment(Inter_J, pt_{10}) → seg_{10}

AI Drawing Prompt Reference

Draw a set of data points and calculate their mean. Then, construct vertical lines from each data point to the x-axis and find their intersections with the mean line. Finally, connect these intersection points to form the standard deviation graph.
The prompt above was compiled from the original drawing commands and is for reference only.