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一周中温数据的均值与中位数

一周中温数据的均值与中位数
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2015-09-26 00:27
概率统计
所属专题 CCSS Support Algebra I Unit 3
本范例展示了Karina记录的一周中午温度数据，并要求计算这些数据的均值和中位数。涉及的核心数学概念包括均值和中位数的计算方法。通过使用GeoGebra命令如Sum、LaTeX、Sort、Element等，可以直观地展示数据的排序、计算过程和结果。适合初中及以上学生学习统计学概念。

GeoGebra 命令及参数

  1. Sum({a, b, d, e, f, g, h}) → total
  2. LaTeX((((("\text{ \textcolor{#000099}{=\frac{" * total) * "}{") * 7) * "}}}")) → text6
  3. LaTeX("\text{ \textcolor{#000099}{≈}}") → text7
  4. LaTeX((("\text{ \textcolor{#000099}{" * average) * "}}")) → text8
  5. Sort({a, b, d, e, f, g, h}) → ascending
  6. LaTeX("\text{Find the median temperature.}") → text10
  7. LaTeX("\text{Since there are an odd number of values, the median is the temperature in the middle.}") → text13
  8. Element(ascending, 1) → sort1
  9. Element(ascending, 2) → sort2
  10. Element(ascending, 3) → sort3
  11. Element(ascending, 4) → sort4
  12. Element(ascending, 5) → sort5
  13. Element(ascending, 6) → sort6
  14. Element(ascending, 7) → sort7
  15. 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) * "}}")]}}, "h") → text12
  16. 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) * "}}")]}}, "h") → text14
  17. Median({a, b, d, e, f, g, h}) → median
  18. LaTeX((("\text{The median temperature is \textcolor{#000099}{" * median) * "° F}.}")) → text15
  19. LaTeX((("\text{" * a) * "}")) → text16
  20. LaTeX((("\text{" * b) * "}")) → text17
  21. LaTeX((("\text{" * d) * "}")) → text18
  22. LaTeX((("\text{" * e) * "}")) → text19
  23. LaTeX((("\text{" * f) * "}")) → text20
  24. LaTeX((("\text{" * g) * "}")) → text21
  25. LaTeX((("\text{" * h) * "}")) → text22
  26. Mean({a, b, d, e, f, g, h}) → mean
  27. LaTeX("\text{Find the mean temperature.}") → text4
  28. LaTeX("\text{To find the mean, add the temperatures, then divide the result by the number of temperatures recorded, \textcolor{#000099}{ 7}.}") → text4_1
  29. LaTeX((((((((((((((((("\text{ \textcolor{#000099}{\frac{" * a) * "+") * b) * "+") * d) * "+") * e) * "+") * f) * "+") * g) * "+") * h) * "}{") * 7) * "}}}")) → text5
  30. LaTeX("\text{To find the median, first order the data set from least to greatest:}") → text11
  31. TableText({{LaTeX["\mathbf{Day}"], LaTeX["\text{1}"], LaTeX["\text{2}"], LaTeX["\text{3}"], LaTeX["\text{4}"], LaTeX["\text{5}"], LaTeX["\text{6}"], LaTeX["\text{7}"]}, {LaTeX["\mathbf{Noon \;temperature \;(° F)}"], LaTeX[(("\text{" * a) * "}")], LaTeX[(("\text{" * b) * "}")], LaTeX[(("\text{" * d) * "}")], LaTeX[(("\text{" * e) * "}")], LaTeX[(("\text{" * f) * "}")], LaTeX[(("\text{" * g) * "}")], LaTeX[(("\text{" * h) * "}")]}}, "l|_") → Tabletext
  32. LaTeX("\text{Karina recorded the temperature each day for one week, as shown in the table.}") → Question
  33. LaTeX("\text{\mathbf{mean} the average value of a data set, found by summing all values and dividing by}") → text27
  34. LaTeX("\text{the number of data points}") → text2
  35. LaTeX("\text{and 50% is greater than it.}") → text3
  36. LaTeX("\text{\mathbf{median} the middle-most value of a data set; 50% of the data is less than this value, }") → text28
  37. LaTeX((("\text{The mean temperature is approximately \textcolor{#000099}{" * average) * "° F}.}")) → text9

AI 绘图提示语参考

画一个表格，列出一周中每天中午的温度，从最低到最高排序。然后计算并标注平均温度和中位数温度。平均温度是所有温度之和除以7，中位数温度是排序后中间的那个温度。
以上提示语为根据原始绘图命令整理而来，仅供参考。