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Drawing Histograms

Drawing Histograms
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2020-12-04 11:35
Coordinate GeometryProbability & StatisticsGraphing
This example demonstrates how to use GeoGebra to draw a histogram representing grouped data. It covers core concepts like data grouping, frequency distribution, and histogram construction. The construction uses commands and objects such as If, Point, Polygon, PolyLine, Sequence, Textfield, and RotateText. It is suitable for middle school mathematics teaching to help students understand data visualization.

GeoGebra Commands & Parameters

  1. If(C2 - A2 > 0, C2 - A2 + A3 - C2, 5) → k
  2. Point(Ray[(1.5 * k, 0), (1.5 * k, 1)]) → Q1
  3. Point(Ray[(2.5 * k, 0), (2.5 * k, 1)]) → Q2
  4. Point(Ray[(3.5 * k, 0), (3.5 * k, 1)]) → Q3
  5. Point(Ray[(4.5 * k, 0), (4.5 * k, 1)]) → Q4
  6. Point(Ray[(5.5 * k, 0), (5.5 * k, 1)]) → Q5
  7. Point(Ray[(6.5 * k, 0), (6.5 * k, 1)]) → Q6
  8. Point(Ray[(7.5 * k, 0), (7.5 * k, 1)]) → Q7
  9. Point(Ray[(8.5 * k, 0), (8.5 * k, 1)]) → Q8
  10. Point(Ray[(9.5 * k, 0), (9.5 * k, 1)]) → Q9
  11. Point(Ray[(10.5 * k, 0), (10.5 * k, 1)]) → Q10
  12. Polygon((unitx, 0.3), (unitx, -0.3), (2.5 * unitx, -0.3), (2.5 * unitx, 0.3)) → poly1, a, b, c, d
  13. PolyLine((unitx, 0), (1.5 * unitx, h), (2 * unitx, -h), (2.5 * unitx, 0)) → e
  14. Sequence(Polygon[(i * k, 0), ((i + 1) * k, 0), ((i + 1) * k, Element[list1, i]), (i * k, Element[list1, i])], i, 1, n - 1) → list2
  15. Sequence(Segment[(xmin + xint2 * i, ymax), (xmin + xint2 * i, ymin)], i, 1, (xmax - xmin) / xint2) → list3
  16. Sequence(Segment[(xmin, ymin + yint2 * i), (xmax, ymin + yint2 * i)], i, 1, (ymax - ymin) / yint2) → list4
  17. Sequence(Sequence[Segment[(xint2 * (j - 1) + xint1 * i, ymax), (xint2 * (j - 1) + xint1 * i, ymin)], i, 1, 4], j, 1, ceil(xmax / xint2)) → list5
  18. Sequence(Sequence[Segment[(xmin, (j - 1) * yint2 + yint1 * i), (xmax, (j - 1) * yint2 + yint1 * i)], i, 1, 4], j, 1, ceil(ymax / yint2)) → list6
  19. Sequence(Segment[(k * i + 0.5 * k, 0), (k * i + 0.5 * k, (-h) / 2.5)], i, 1, n - 1) → list9
  20. Sequence(Segment[(k * i, 0), (k * i, (-h) / 2.5)], i, 1, n) → list8
  21. Textfield(text23) → inputBox2
  22. Textfield(text24) → inputBox4
  23. Textfield(yint1') → inputBox1
  24. Textfield(xint1') → inputBox3
  25. RotateText("Frequency", 90*°) → text12

AI Drawing Prompt Reference

Draw a histogram with grouped data on the x-axis and frequency on the y-axis. Create several equal-width rectangles, each with height proportional to the frequency of its group. Above the rectangles, add a polyline connecting the midpoints of the top edges to form a frequency polygon. Below the chart, include tick marks and labels, plus a rotated 'Frequency' text label. Also add two input boxes for adjusting bin width and frequency scale. Keep the layout clear for educational purposes.
The prompt above was compiled from the original drawing commands and is for reference only.