MathPlotAI Logo MathPlotAI

Randomized Histograms (Unequal Class Widths)

Randomized Histograms (Unequal Class Widths)
Loading the math board and drawing, please wait…
2013-06-06 19:01
FunctionProbability & StatisticsGraphing
In collections Randomised Questions
This example demonstrates how to generate random data and create histograms with unequal class widths. It involves core math concepts like histograms, exponential functions, normal distribution, and binomial distribution. GeoGebra commands and objects used include Random, Histogram, Polygon, Sum, TableText, Segment, and If. Suitable for high school and above in probability & statistics and data analysis education.

GeoGebra Commands & Parameters

  1. Random(1, 3 + If[j, 0, 0]) → A1
  2. Random(1, 5 + If[j, 0, 0]) → B1
  3. Random(1, 5 + If[j, 0, 0]) → B2
  4. Random(1, 5 + If[j, 0, 0]) → B4
  5. Random(1, 5 + If[j, 0, 0]) → B5
  6. Random(1, 5 + If[j, 0, 0]) → B3
  7. Histogram(A1:A6, B1:B5) → a_1
  8. Random(2, 5) → b_1
  9. Polygon(A, B, C, D) → poly1, a, b, c, d
  10. Polygon(E, F, G, H) → poly2, e, f, g, h
  11. Sum(B9:B13) → B15
  12. TableText(list1, "c") → text3
  13. Segment(C8, C9) → D8
  14. Segment(C9, C10) → D9
  15. Segment(C10, C11) → D10
  16. Segment(C11, C12) → D11
  17. Segment(C12, C13) → D12
  18. Segment(C13, (20, B9 + B10 + B11 + B12 + B13)) → D13
  19. Segment((-10, 0), C8) → D7
  20. Random(0, 1 + If[j, 0, 0]) → type
  21. If(($E8 ≤ $B$15 / 2) ∧ ($E9 > $B$15 / 2), 1, 0) → F9
  22. If((E9 ≤ $B$15 / 2) ∧ (E10 > $B$15 / 2), 1, 0) → F10
  23. If((E10 ≤ $B$15 / 2) ∧ (E11 > $B$15 / 2), 1, 0) → F11
  24. If((E11 ≤ $B$15 / 2) ∧ (E12 > $B$15 / 2), 1, 0) → F12
  25. If((E12 ≤ $B$15 / 2) ∧ (E13 > $B$15 / 2), 1, 0) → F13
  26. Sum(H9:H13) → H14
  27. If(($E8 ≤ $B$15 / 4) ∧ ($E9 > $B$15 / 4), 1, 0) → I9
  28. If(($E9 ≤ $B$15 / 4) ∧ ($E10 > $B$15 / 4), 1, 0) → I10
  29. If(($E10 ≤ $B$15 / 4) ∧ ($E11 > $B$15 / 4), 1, 0) → I11
  30. If(($E11 ≤ $B$15 / 4) ∧ ($E12 > $B$15 / 4), 1, 0) → I12
  31. If(($E12 ≤ $B$15 / 4) ∧ ($E13 > $B$15 / 4), 1, 0) → I13
  32. Sum(K9:K13) → K14
  33. If(($E8 ≤ (3 * $B$15 / 4)) ∧ ($E9 > (3 * $B$15 / 4)), 1, 0) → L9
  34. If(($E9 ≤ (3 * $B$15 / 4)) ∧ ($E10 > (3 * $B$15 / 4)), 1, 0) → L10
  35. If(($E10 ≤ (3 * $B$15 / 4)) ∧ ($E11 > (3 * $B$15 / 4)), 1, 0) → L11
  36. If(($E11 ≤ (3 * $B$15 / 4)) ∧ ($E12 > (3 * $B$15 / 4)), 1, 0) → L12
  37. If(($E12 ≤ (3 * $B$15 / 4)) ∧ ($E13 > (3 * $B$15 / 4)), 1, 0) → L13
  38. Sum(N9:N13) → N14

AI Drawing Prompt Reference

Generate a set of random data and draw a histogram with unequal class widths to demonstrate core probability and statistics concepts. Below the histogram, draw a polygon and plot multiple segments based on the data, connecting the polygon to the histogram. Use different colors to distinguish segments for different categories and label the data sum.
The prompt above was compiled from the original drawing commands and is for reference only.