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Museum Ticket Price Data Analysis Example

Museum Ticket Price Data Analysis Example
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2015-08-13 02:46
In collections CCSS Support Algebra I Unit 3
This example demonstrates how to calculate the mean absolute deviation from a dataset of standard adult admission prices for 8 museums. Key mathematical concepts include statistical analysis and error measurement. Construction involves using GeoGebra commands like Mean, Sum, and Intersect to process the data. Suitable for middle school students learning statistics or high school students for data analysis practice.

GeoGebra Commands & Parameters

  1. Mean({val1, val2, val3, val4, val5, val6, val7, val8}) → mean
  2. LaTeX("\text{Use the buttons below to return to the original problem or}") → RandomText
  3. LaTeX("\text{randomly generate a similar practice problem.}") → RandomText1
  4. Sum({mod1, mod2, mod3, mod4, mod5, mod6, mod7, mod8}) → modsum
  5. LaTeX("\text{Calculate the mean.}") → text1
  6. LaTeX((((("\text{\textcolor{#000099}{=\frac{" * sum) * "}{") * total) * "}}}")) → text5
  7. LaTeX((("\text{\textcolor{#000099}{=" * mean) * "}}")) → text6
  8. LaTeX((("\text{The mean of the data set is \textcolor{#000099}{" * mean) * "}.}")) → text7
  9. LaTeX("\text{Find the absolute value of the differences between each value and the mean.}") → text8
  10. LaTeX("\text{of these differences.}") → text10
  11. LaTeX("\text{Find the average of the differences.}") → text19
  12. LaTeX((((((((((((((((((("\text{\textcolor{#000099}{\frac{" * mod1) * "+") * mod2) * "+") * mod3) * "+") * mod4) * "+") * mod5) * "+") * mod6) * "+") * mod7) * "+") * mod8) * "}{") * total) * "}}}")) → text22
  13. LaTeX((((("\text{\textcolor{#000099}{=\frac{" * modsum) * "}{") * total) * "}}}")) → text23
  14. LaTeX((("\text{\textcolor{#000099}{=" * average) * "}}")) → text24
  15. LaTeX((("\text{The average of the differences is \textcolor{#000099}{" * average) * "}.}")) → text25
  16. LaTeX("\text{State the mean absolute deviation and explain what it means.}") → text26
  17. LaTeX("\text{Move the slider to solve the problem.}") → SliderText
  18. Intersect(c, g) → PopupA
  19. Intersect(c, f) → PopupB
  20. Intersect(d, f) → PopupC
  21. Intersect(d, g) → PopupD
  22. LaTeX((((((("\text{ \textcolor{#000099}{|" * val1) * "-") * mean) * "|=") * mod1) * "}")) → text11
  23. LaTeX((((((("\text{ \textcolor{#000099}{|" * val2) * "-") * mean) * "|=") * mod2) * "}")) → text12
  24. LaTeX((((((("\text{ \textcolor{#000099}{|" * val3) * "-") * mean) * "|=") * mod3) * "}")) → text13
  25. LaTeX((((((("\text{ \textcolor{#000099}{|" * val4) * "-") * mean) * "|=") * mod4) * "}")) → text14
  26. LaTeX((((((("\text{ \textcolor{#000099}{|" * val5) * "-") * mean) * "|=") * mod5) * "}")) → text15
  27. LaTeX((((((("\text{ \textcolor{#000099}{|" * val6) * "-") * mean) * "|=") * mod6) * "}")) → text16
  28. LaTeX((((((("\text{ \textcolor{#000099}{|" * val7) * "-") * mean) * "|=") * mod7) * "}")) → text17
  29. LaTeX((((((("\text{ \textcolor{#000099}{|" * val8) * "-") * mean) * "|=") * mod8) * "}")) → text18
  30. LaTeX((((((((((((((((((("\text{\textcolor{#000099}{\frac{" * val1) * "+") * val2) * "+") * val3) * "+") * val4) * "+") * val5) * "+") * val6) * "+") * val7) * "+") * val8) * "}{") * total) * "}}}")) → text4
  31. TableText({{LaTeX[(("\text{\textcolor{#000099}{" * val1) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val2) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val3) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val4) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val5) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val6) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val7) * "}}")], LaTeX[(("\text{\textcolor{#000099}{" * val8) * "}}")]}}) → QuestionText1
  32. LaTeX("\text{WORDS TO KNOW}") → text33
  33. LaTeX("\text{DATA KIT}") → text32
  34. LaTeX((("\text{" * val2) * "}")) → text35
  35. LaTeX((("\text{" * val3) * "}")) → text36
  36. LaTeX((("\text{" * val4) * "}")) → text37
  37. LaTeX((("\text{" * val6) * "}")) → text39
  38. LaTeX((("\text{" * val7) * "}")) → text40
  39. LaTeX((("\text{" * val8) * "}")) → text41
  40. LaTeX((("\text{" * val1) * "}")) → text34
  41. LaTeX((("\text{" * val5) * "}")) → text38
  42. LaTeX("\text{To calculate the mean,find the sum of the values and divide by the total number of }") → text2
  43. LaTeX((("\text{\mathbf{The \; following \; data \;set \; shows \; the \; standard\; adult\; admission\;price\; in \; dollars\; for\; \textcolor{#000099}{" * total) * "}\; museums. }}")) → QuestionText
  44. LaTeX("\text{To find the average, add all of the differences and divide by the number of data}") → text20
  45. LaTeX((("\text{points, \textcolor{#000099}{" * total) * "}.}")) → text21
  46. LaTeX((("\text{Subtract the mean, \textcolor{#000099}{" * mean) * "}, from each value in the data set, and take the absolute values}")) → text9
  47. LaTeX((("\text{values, \textcolor{#000099}{" * total) * "}.}")) → text3
  48. LaTeX((("\text{The mean absolute deviation is the average of the differences, \textcolor{#000099}{" * average) * "}.This means that }")) → text27
  49. LaTeX((("\text{admission prices in this city are, on average, about \textcolor{#000099}{\textdollar" * average) * "} from the mean museum price.}")) → text28
  50. LaTeX("\text{\mathbf{mean} the average value of a data set, found by summing all values and dividing") → Hint_heading
  51. LaTeX("\text{by the number of data points }") → Hint
  52. LaTeX("\text{\mathbf{absolute \;value} a number’s distance from \textcolor{#000099}{0} on a number line; the positive value}") → text42
  53. LaTeX("\text{of a quantity}") → text43

AI Drawing Prompt Reference

Input the standard adult admission prices for 8 museums, then calculate and display the mean, the absolute differences between each price and the mean, and the average of these differences. Finally, explain the mean absolute deviation.
The prompt above was compiled from the original drawing commands and is for reference only.