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Analyzing a Dataset of Daily Walking Distances

Analyzing a Dataset of Daily Walking Distances
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2015-11-09 23:48
Coordinate GeometryProbability & StatisticsGeometric Construction
In collections CCSS Support Algebra I Unit 3
This example demonstrates how to analyze a dataset of recorded daily walking distances using GeoGebra. Key math concepts include data sorting, quartile calculation, and statistical graphing. The construction leverages commands like Sort, Element, LaTeX, roundFix, TableText, and objects such as Equaliser series for data organization and visualization. It is suitable for high school mathematics courses focusing on statistics and data analysis, serving as a teaching demonstration or student exercise.

GeoGebra Commands & Parameters

  1. Sort(list2) → Asort
  2. Element(Asort, 4) → Asort4
  3. Element(Asort, 3) → Asort3
  4. LaTeX("\text{first and third quartiles of the data set.}") → text1
  5. roundFix(val1, 1) → R1
  6. roundFix(val2, 1) → R2
  7. roundFix(val3, 1) → R3
  8. roundFix(val4, 1) → R4
  9. roundFix(val5, 1) → R5
  10. roundFix(val6, 1) → R6
  11. roundFix(val7, 1) → R7
  12. roundFix(val8, 1) → R8
  13. roundFix(val9, 1) → R9
  14. roundFix(val10, 1) → R10
  15. roundFix(val11, 1) → R11
  16. roundFix(val12, 1) → R12
  17. LaTeX((("\text{" * R10) * "}")) → Equaliservalue10
  18. LaTeX((("\text{" * R11) * "}")) → Equaliservalue11
  19. LaTeX((("\text{" * R12) * "}")) → Equaliservalue12
  20. LaTeX((("\text{" * R2) * "}")) → Equaliservalue2
  21. LaTeX((("\text{" * R3) * "}")) → Equaliservalue3
  22. LaTeX((("\text{" * R4) * "}")) → Equaliservalue4
  23. LaTeX((("\text{" * R5) * "}")) → Equaliservalue5
  24. LaTeX((("\text{" * R6) * "}")) → Equaliservalue6
  25. LaTeX((("\text{" * R7) * "}")) → Equaliservalue7
  26. LaTeX((("\text{" * R8) * "}")) → Equaliservalue8
  27. LaTeX((("\text{" * R9) * "}")) → Equaliservalue9
  28. TableText({{LaTeX[(("\text{\textcolor{#000099}{" * R1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * R12) * "}}")]}}) → QuestionText1
  29. LaTeX("\text{Order the data values from least to greatest. }") → text2
  30. LaTeX("\text{Find the smallest number of the remaining numbers in the original set and use it as the second number in the ordered list.}") → text5
  31. LaTeX("\text{Continue this process until all the numbers in the original list are crossed out.}") → text7
  32. Sort(list1) → sort
  33. Element(sort, 1) → sort1
  34. Element(sort, 2) → sort2
  35. Element(sort, 3) → sort3
  36. Element(sort, 4) → sort4
  37. Element(sort, 5) → sort5
  38. Element(sort, 6) → sort6
  39. Element(sort, 7) → sort7
  40. Element(sort, 8) → sort8
  41. Element(sort, 9) → sort9
  42. Element(sort, 10) → sort10
  43. Element(sort, 11) → sort11
  44. Element(sort, 12) → sort12
  45. TableText({{LaTeX[(("\text{\textcolor{#000099}{" * sort1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort12) * "}}")]}}) → text9
  46. TableText({{LaTeX[(("\text{\textcolor{#000099}{" * sort1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort12) * "}}")]}}) → text13
  47. LaTeX("\text{Find the mean of the middle two numbers.}") → text14
  48. LaTeX((("\text{" * R1) * "}")) → Equaliservalue1
  49. Element(Asort, 1) → Asort1
  50. Element(Asort, 2) → Asort2
  51. Element(Asort, 5) → Asort5
  52. Element(Asort, 6) → Asort6
  53. Element(Asort, 7) → Asort7
  54. Element(Asort, 8) → Asort8
  55. Element(Asort, 9) → Asort9
  56. Element(Asort, 10) → Asort10
  57. Element(Asort, 11) → Asort11
  58. Element(Asort, 12) → Asort12
  59. LaTeX("\text{The third quartile is the mean or average of the middle two numbers in the upper half.}") → text22
  60. TableText({{LaTeX[(("\text{\textcolor{#000099}{" * sort1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort8) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort9) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort10) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort11) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * sort12) * "}}")]}}) → text23
  61. LaTeX((((("\text{\textcolor{#000099}{Q₃=\frac{" * Asort9) * "+") * Asort10) * "}{2}}}")) → text16
  62. LaTeX((("\text{\textcolor{#000099}{Q₃=\frac{" * UAdd) * "}{2}}}")) → text17
  63. LaTeX((("\text{\textcolor{#000099}{Q₃=" * UDiv) * "}}")) → text24
  64. LaTeX((((("\text{\textcolor{#000099}{Q₁= \frac{" * Asort3) * "+") * Asort4) * "}{2}}}")) → text15
  65. LaTeX((("\text{\textcolor{#000099}{Q₁=\frac{" * LAdd) * "}{2}}}")) → text20
  66. LaTeX((("\text{\textcolor{#000099}{Q₁=" * LDiv) * "}}")) → text18
  67. LaTeX("\text{Lower half}") → text26
  68. LaTeX("\text{Lower half}") → text27
  69. LaTeX("\text{Upper half}") → text29
  70. LaTeX("\text{Upper half}") → text28
  71. LaTeX((("\text{The smallest number is \textcolor{#000099}{" * sort1) * "}.}")) → text4
  72. LaTeX("\text{The ordered list of numbers is as follows:}") → text8
  73. LaTeX((("\text{Cara recorded the number of miles she walked each day for \textcolor{#000099}{" * total) * "} days.Her data is listed below.Find the}")) → QuestionText
  74. LaTeX("\text{Find the smallest number and use it as the first number in a new,ordered list.Cross it out in the original list. }") → text3
  75. LaTeX((("\text{Cross it out in the original list.The next number is \textcolor{#000099}{" * sort2) * "}.}")) → text6
  76. LaTeX("\text{Find \textcolor{#000099}{Q₁},the first quartile.}") → text11
  77. LaTeX("\text{The first quartile is the mean,or average,of the middle two numbers in the lower half.}") → text12
  78. LaTeX((("\text{\textcolor{#000099}{Q₁},the first quartile,is \textcolor{#000099}{" * LDiv) * "}}.")) → text19
  79. LaTeX((("\text{\textcolor{#000099}{Q₃},the third quartile,is \textcolor{#000099}{" * UDiv) * "}}.")) → text25
  80. LaTeX("\text{Find \textcolor{#000099}{Q₃},the third quartile.}") → text21
  81. LaTeX("\text{\mathbf{First\;quartile} the value that identifies the lower \textcolor{#000099}{25%} of the data;the median of the }") → text31
  82. LaTeX("\text{\mathbf{Third\; quartile} value that identifies the upper \textcolor{#000099}{25%} of the data;the median of the}") → text33
  83. LaTeX("\text{upper half of the data set;\textcolor{#000099}{75%} of all data is less than this value;written as \textcolor{#000099}{Q₃}.}") → text34
  84. LaTeX("\text{lower half of the data set;written as \textcolor{#000099}{Q₁}.}") → text32
  85. LaTeX("\text{values.The first six numbers are in the lower half and the last six numbers are in the upper half.}") → text10
  86. LaTeX("\text{Cara recorded the number of miles she walked for \textcolor{#000099}{12} days;therefore,the data set has an even number of }") → text30

AI Drawing Prompt Reference

Create a statistical graph for a dataset of daily walking distances by first sorting the data in ascending order. Identify and label the first, second, third, and fourth quartiles. Calculate and display the median and mean of the data. Finally, clearly show all data points and statistical values on a coordinate plane to analyze the distribution and trends of the data.
The prompt above was compiled from the original drawing commands and is for reference only.