章节大纲

  • 常规

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  • 使用框绘图

    Reviewing Box Plots
    ::复览框绘图

    Use the interactive below to identify parts of a box plot and how the shape of it changes with different samples.
    ::使用下面的交互式图解来识别盒子图块的部分,以及用不同的样本来识别其形状如何变化。

     

    INTERACTIVE
    Identifying Components Of A Box Plot
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    • Click the red lines that correspond with different values of the box plot.

      ::单击与框图的不同值相对应的红线。
    • After all the values have been selected, press the button to look at different samples of data.

      ::在所有值被选中后, 按下按钮查看不同的数据样本 。
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    From the given plot, find the lower quartile and the upper quartile. 20130809105357647387-cache8078745056_93b401f9a6_o
    ::从给定的地块中找到下四分位数和上四分位数。

    a

    5 ; 18

    b

    8 ; 14

    c

    5 ; 14

    d

    8 ; 18

     

    Discussion Question
    ::讨论问题

    Is it possible for multiple critical values to have equal values? For example can the equal the upper quartile ? How? Does this only happen when all values in the set are the same?
    ::多重关键值是否可能具有等值 ? 例如, 等值的上四角形会否 ? 如何? 这是否只有在集中的所有值都相同时才发生 ?

     

    Double Box Plots
    ::双框图

    You can put multiple box plots over the same number line to help visualize and compare data representing different groups. The double box plot below represents two datasets: dataset A and dataset B.
    ::您可以在同一数字行上放置多个框块, 帮助可视化和比较代表不同组的数据。 下面的双框块显示两个数据集: 数据集 A 和 数据集 B 。

    lesson content
    A double box plot

    Looking at the two datasets, you can see that  Dataset A has a greater median than Dataset b. Additionally, you can see that Dataset A has a greater spread than Dataset B.
    ::查看这两个数据集,你可以看到数据集A的中位数大于数据集b。此外,你可以看到数据集A的传播范围大于数据集B。

    You can also make observations using the quartiles. For example, the top 50% of Dataset A occurs above the maximum value of Dataset B.
    ::您也可以使用四分位数进行观测。例如,数据集A的顶部50%发生于数据集B的最大值之上。

    Use the double box plot below to answer the questions in the interactive.
    ::使用下面的双倍框图解答互动中的问题。

    lesson content
    Another double box plot

     

     

    Discussion Question
    ::讨论问题

    The image below displays a double dot plot . What are the potential benefits of using a double box plot over a double dot plot? What are the potential benefits of using a double dot plot over a double box plot?
    ::下面的图像显示双点图案。 在双点图案上使用双点图案的潜在好处是什么? 在双点图案上使用双点图案的潜在好处是什么? 在双点图案上使用双点图案的潜在好处是什么?

    lesson content
    A Double Dot Plot

     

    Video Game Scores
    ::视频游戏评分

    Data Set 1 consists of data on the scores on a video game for 100 teenage girls. Data Set 2 consists of scores on a video game for 100 teenage boys. Box plots of the two data sets are shown below: 
    ::数据集1包括100名少女在视频游戏中得分的数据;数据集2包括100名少年男孩在视频游戏中得分的数据。

     

     

    Discussion Questions
    ::讨论问题 讨论问题

    1. What do the median and interquartile range tell you about the boys' and girls' scores respectively?
      ::中位数和内分数范围 分别告诉你男女分数多少?
    2. What would the mean and mean absolute deviation look like and would they give us a different perspective on the data?
      ::绝对偏差的含义和含义是什么? 它们是否会使我们对数据有不同的看法?

     

    Comparing Test Scores in Mr. Sanchez's Class
    ::比较桑切斯先生班级的考试分数

    In Mr. Sanchez's math classroom, more people sit on the right-hand side of the room than the left side.
    ::在桑切斯先生的数学教室里,坐在房间右侧的人比坐在左边的人多。

    The students on the right-hand side of the classroom received the following scores on an exam worth 100 points: 
    ::教室右侧的学生在一次100分的考试中得分如下:

    [85, 90, 100, 95, 0, 0, 90, 70, 100, 95, 80, 95] 

    The students on the left-hand side received these test scores: 
    ::左手边的学生获得了这些考试分数:

    [65, 80, 90, 65, 80, 60, 95, 85]  

    In the interactive below, construct two box plots based on the two data sets above: students on the right-hand side of the classroom and students on the left-hand side of the classroom. Compare the components of the box plots together.
    ::在下文互动部分,根据以上两套数据构建两盒地块:教室右侧的学生和教室左侧的学生。将盒子地块的各个组成部分放在一起比较。

     

    INTERACTIVE
    Comparing Test Scores in Mr. Sanchez's Class
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    Drag the red dots to adjust the box plots so that they match the data provided.
    ::拖曳红色点以调整框块图,使其与所提供的数据匹配。

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    Discussion Question
    ::讨论问题

    Which side of the room do you feel did better? Is there any information that you don't have but would support your argument?
    ::你觉得房间的哪一边比较好?你有什么信息,你除了支持你的论点之外,没有其它信息吗?

     

       Summary
    ::摘要

    Statistics is a powerful tool for supporting arguments in a variety of contexts -- education, sports, medicine, science, business, etc. There are usually always choices to be made, and which statistics to use and how, can be helpful in making those decisions.