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Creating a Histogram from a Table in GeoGebra

Creating a Histogram from a Table in GeoGebra
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2012-07-10 21:23
FunctionSequenceProbability & StatisticsGraphing
This example demonstrates how to create a histogram from a table in GeoGebra, visually displaying the frequency distribution of a dataset and its step-function outline. The core mathematical concepts include histograms, statistical distributions, step functions, data binning, frequency characteristics, and boxplot-related statistical features. The construction uses GeoGebra commands such as Textfield, Polygon, Segment, Sequence, Vector, Sort, Element, and If, along with objects including t0, t1, t2, directions1, d1, inputD1, directions3, directions2, tableHeader, xMin, xMax, yMin, yMax, header1, and table cells table11 through table18 to control table input, interval boundaries, rectangular bars, and step segments. It is suitable for high school probability and statistics instruction and for introductory college statistics courses that require interactive data visualization and exploratory learning.

GeoGebra Commands & Parameters

  1. Textfield(d1) → inputD1
  2. Polygon((0, 11), (If[showSteps > t0, t1, t2], 11), (If[showSteps > t0, t1, t2], 12), (0, 12)) → tableHeader, b, c, d, e
  3. Segment((0, 10), (If[showSteps > t0, t1, t2], 10)) → f
  4. Segment((0, 9), (If[showSteps > t0, t1, t2], 9)) → g
  5. Segment((0, 8), (If[showSteps > t0, t1, t2], 8)) → h
  6. Segment((0, 7), (If[showSteps > t0, t1, t2], 7)) → i
  7. Segment((0, 6), (If[showSteps > t0, t1, t2], 6)) → j
  8. Segment((0, 5), (If[showSteps > t0, t1, t2], 5)) → k
  9. Segment((0, 4), (If[showSteps > t0, t1, t2], 4)) → l
  10. Segment((0, 3), (If[showSteps > t0, t1, t2], 3)) → m
  11. Segment((t1, 0), (t1, 12)) → s
  12. Textfield(d2) → inputD2
  13. Textfield(d3) → inputD3
  14. Textfield(d4) → inputD4
  15. Textfield(d5) → inputD5
  16. Textfield(d6) → inputD6
  17. Textfield(d7) → inputD7
  18. Textfield(d8) → inputD8
  19. Segment((0, 2), (If[showSteps > t0, t1, t2], 2)) → a
  20. Textfield(d9) → inputD9
  21. Segment((3.2, 2), (3.2, 12)) → q
  22. Segment((0, 2), (0, 11)) → n
  23. Segment((If[showSteps > t0, t1, t2], 2), (If[showSteps > t0, t1, t2], 11)) → p
  24. Sequence(Segment[(i, -0.3), (i, 0)], i, 7, 18) → xAxisHashMarks
  25. Vector((10, 0), (18.8, 0)) → xAxisR
  26. Vector((10, 0), (6.2, 0)) → xAxisL
  27. Vector((7, 2), (7, -0.8)) → yAxisB
  28. Sort({d1, d2, d3, d4, d5, d6, d7, d8, d9}) → ordered
  29. Element(ordered, 9) → gr
  30. If(gr < 12, 1, If[gr < 24, 2, If[gr < 30, 3, If[gr < 60, 4, 5]]]) → ySet
  31. Sequence(Segment[(i, 0), (i, 12)], i, 8, 1000) → gridV
  32. Sequence(Segment[(7, i), (1000, i)], i, 1, 12) → gridH
  33. Vector((7, 2), (7, 12.8)) → yAxisT
  34. Sequence(Segment[(6.7, i), (7, i)], i, 1, 12) → yAxisHashMarks
  35. If(ySet ≟ 1, 1, If[ySet ≟ 2, 2, If[ySet ≟ 3, 2.5, If[ySet ≟ 4, 5, 10]]]) → scaleFactor
  36. Polygon((8, 0), (9, 0), (9, d1 / scaleFactor), (8, d1 / scaleFactor)) → hist89, t, a_1, b_1, c_1
  37. Polygon((9, 0), (10, 0), (10, d2 / scaleFactor), (9, d2 / scaleFactor)) → hist910, d_1, e_1, f_1, g_1
  38. Polygon((10, 0), (11, 0), (11, d3 / scaleFactor), (10, d3 / scaleFactor)) → hist1011, h_1, i_1, j_1, k_1
  39. Polygon((11, 0), (12, 0), (12, d4 / scaleFactor), (11, d4 / scaleFactor)) → hist1112, l_1, m_1, n_1, p_1
  40. Polygon((12, 0), (13, 0), (13, d5 / scaleFactor), (12, d5 / scaleFactor)) → hist121, q_1, r_1, s_1, t_1
  41. Polygon((13, 0), (14, 0), (14, d6 / scaleFactor), (13, d6 / scaleFactor)) → hist12, a_2, b_2, c_2, d_2
  42. Polygon((14, 0), (15, 0), (15, d7 / scaleFactor), (14, d7 / scaleFactor)) → hist23, e_2, f_2, g_2, h_2
  43. Polygon((15, 0), (16, 0), (16, d8 / scaleFactor), (15, d8 / scaleFactor)) → hist34, i_2, j_2, k_2, l_2
  44. Polygon((16, 0), (17, 0), (17, d9 / scaleFactor), (16, d9 / scaleFactor)) → hist45, m_2, n_2, p_2, q_2

AI Drawing Prompt Reference

Draw a histogram built from a table of nine values: nine equal-width bars whose heights are the entered frequencies scaled by the maximum value, a step-function outline connecting the bar tops, horizontal and vertical axes with tick marks and a full grid, and on the left a column of nine editable input fields for the raw frequencies together with a header row and guiding segments. The layout proceeds from the data entry area on the left to the coordinate system and grid, then to the histogram bars and step outline on the right.
The prompt above was compiled from the original drawing commands and is for reference only.