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Smile Bright Toothpaste Survey Probability & Statistics Example

Smile Bright Toothpaste Survey Probability & Statistics Example
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2015-11-04 23:21
Probability & StatisticsGeometric ConstructionSlider Animation
This example demonstrates the graphical analysis of market survey data using probability and statistics methods. Core math concepts include probability statistics, sample analysis, and data visualization. Construction highlights from the GeoGebra command summary involve commands like slidevalue, Quadratic1, Linear1, DatakitBG, etc. Suitable for high school mathematics curriculum, teaching real-world applications of probability statistics and data analysis.

GeoGebra Commands & Parameters

  1. LaTeX("\text{Solve the problem using fractions and find the percentage of each brand.}") → content2
  2. LaTeX("\text{Write equivalent fractions in simplest form to represent the given values.}") → content3
  3. LaTeX((((("\text{The Mighty Clean ad says \textcolor{#000099}{ " * val4) * "} people out of \textcolor{#000099}{ ") * val5) * "} prefer Mighty Clean.}")) → content7
  4. LaTeX("\text{Compare the fractions.}") → content9
  5. LaTeX("\text{Use proportions to write each fraction as a percent.}") → content12
  6. LaTeX("\text{Proportion}") → content15
  7. LaTeX((((((("\text{\textcolor{#000099}{\frac{" * div1) * "}{") * div2) * "}=}\textcolor{#000099}{\frac{p}{") * val6) * "}}")) → content14
  8. LaTeX((((((("\text\textcolor{#000099}{{" * div1) * "(") * val6) * ")=") * div2) * "(p)}}")) → content16
  9. LaTeX("\text{Cross multiply.}") → content17
  10. LaTeX((((("\text\textcolor{#000099}{{" * Mul1) * "=") * div2) * "p}}")) → content18
  11. LaTeX("\text{Simplify.}") → content19
  12. LaTeX((("\text\textcolor{#000099}{{" * div4) * "=p}}")) → content20
  13. LaTeX("\text{Proportion}") → content25
  14. LaTeX((((((("\text{\textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}=}\textcolor{#000099}{\frac{p}{") * val6) * "}}")) → content24
  15. LaTeX((((((("\text\textcolor{#000099}{{" * val4) * "(") * val6) * ")=") * val5) * "(p)}}")) → content26
  16. LaTeX("\text{Cross multiply.}") → content29
  17. LaTeX("\text{Simplify.}") → content30
  18. LaTeX((("\text\textcolor{#000099}{{" * div5) * "=p}}")) → content28
  19. LaTeX((("\text{The percent of people surveyed who prefer Smile Bright is \textcolor{#000099}{ " * div3) * "%}.}")) → content32
  20. LaTeX((("\text{Divide both sides by \textcolor{#000099}{" * div2) * "}.}")) → content21
  21. LaTeX((((("\text\textcolor{#000099}{{" * Mul2) * "=") * val5) * "p}}")) → content27
  22. LaTeX((("\text{Divide both sides by \textcolor{#000099}{" * val5) * "}.}")) → content31
  23. LaTeX((("\text{The percent of people who reportedly prefer Mighty Clean is \textcolor{#000099}{ " * div5) * "%}.}")) → content22
  24. LaTeX((("\text{People preferring Smile Bright:" * Quadratic1) * "}")) → Datakittext1
  25. LaTeX((("\text{People preferring Mighty Clean:" * Quadratic2) * "}")) → Datakittext3
  26. LaTeX((((("\text{Total survey participants:\textcolor{#000099}{" * Linear1) * "}; people preferring Smile Bright: \textcolor{#000099}{") * Quadratic1) * "}; people preferring Mighty Clean: \textcolor{#000099}{3} out of \textcolor{#000099}{8}}")) → content1
  27. LaTeX((((("\text{In the Smile Bright survey, \textcolor{#000099}{" * Quadratic1) * "} people out of \textcolor{#000099}{ ") * Linear1) * "} prefer Smile Bright.}")) → content4
  28. LaTeX((((("\text{This can be written as the fraction \textcolor{#000099}{\frac{" * Quadratic1) * "}{") * Linear1) * "}}. }")) → content5
  29. LaTeX((((((((((("\text{The fraction \textcolor{#000099}{\frac{" * Quadratic1) * "}{") * Linear1) * "}} can be reduced by a factor of \textcolor{#000099}{") * slidevalue) * "}. The resulting fraction is \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}}.}")) → content6
  30. LaTeX((((("\text{This can be written as the fraction \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. }")) → content8
  31. LaTeX((((((((((((((((("\text{The fractions \textcolor{#000099}{\frac{" * div1) * "}{") * div2) * "}} and \textcolor{#000099}{\frac{") * val4) * "}{") * val5) * "}} have common denominators, so only their numerators need to be compared. Since \textcolor{#000099}{") * div1) * "} is greater than \textcolor{#000099}{") * val4) * "}, \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}} is} ")) → content10
  32. LaTeX((((("\text{greater than \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. Therefore, according to these results, more people said they prefer Smile Bright than Mighty Clean.}")) → content11
  33. LaTeX((((((((((("\text{The ratio of people surveyed who prefer Smile Bright is \textcolor{#000099}{ \frac{" * div1) * "}{") * div2) * "}}. Set up the proportion \textcolor{#000099}{\frac{") * div1) * "}{") * div2) * "}}=\textcolor{#000099}{\frac{p}{") * val6) * "}} to determine the equivalent percent.}")) → content13
  34. LaTeX((((((((((("\text{The ratio of people who reportedly prefer Mighty Clean is \textcolor{#000099}{\frac{" * val4) * "}{") * val5) * "}}. Set up the proportion \textcolor{#000099}{\frac{") * val4) * "}{") * val5) * "}=\frac{p}{") * val6) * "}} to determine the equivalent percent.}")) → content23
  35. LaTeX("\text{\mathbf{factor\;(noun)} one of two or more numbers or expressions that when multiplied}") → Wordstoknowtext
  36. LaTeX("\text{produce a given product}") → Wordstoknowtext1
  37. LaTeX("\text{\mathbf{factor\; (verb)} to write an expression as the product of its factors}") → Wordstoknowtext2
  38. LaTeX((("\text{Total number of participants:" * Linear1) * "}")) → Datakittext2