章节大纲

  • 常规

    全部折叠 展开全部

  • Dot 绘图点

    How Many Letters?
    ::几封信? 几封信? 几封信? 几封信?

    How many letters are there in the word one ?
    ::这个词里有多少字母?

    How many in the word two ?
    ::两个字里有多少个?

    Use this interactive to create a dot plot by filling out the correct number of letters of all the number words from one up to twenty.
    ::使用此互动来创建点图, 填写从一个到二十个数字字的所有字母的正确编号 。

     

    INTERACTIVE
    How Many Letters?
    minimize icon

    For each word in the tables to the right, enter its corresponding length in the column next to it to create a dot plot.
    ::对于右边表格中的每个字,请在旁边的列中输入相应的长度,以创建点图。

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    Progress
    0 / 3
    1.

    Complete the warm-up activity. What does the tallest line of dots on the number line represent?
    ::完成热身活动。数字线上最高点代表什么?

    a

    The average word length for a number up to 20.
    ::20岁以下数字的平均字长。

    b

    The longest word for a number up to twenty.
    ::数字最多为 20 个的最长单词 。

    c

    The most common length of a word for a number up to 20 is four letters.
    ::最多20个数字的一个词的最常用的长度是4个字母。

    d

    The most common length of a word for a number up to 20.
    ::最多为20个数字的一个词的最常用的词长。

     

    A dot plot is a visual display in which each piece of data is represented by a dot above a number line, showing the frequency of each data value. The total number of dots in the plot is the total number of values in the data set . The data points must all be in the same units .
    ::点图是一个视觉显示,其中每个数据片段由数字行以上的点表示,显示每个数据值的频率。图中点数的总数是数据集中的数值总数。数据点必须全部在同一单位中。

    Displaying data in a dot plot can make it easy to interpret the characteristics of a data set, such as the center (the median), the spread (the range of the data), the shape (Is it symmetrical or asymmetrical? Are there peaks or clusters ?), and unusual features (gaps in the data, outliers ).
    ::在点图中显示数据可以方便地解释数据集的特性,如中心(中位数)、分布(数据范围)、形状(是否对称或不对称?是否存在峰值或组群?)和不寻常的特征(数据中的空白、外端)。

    Here's an example of a dot plot: 
    ::以下是一个圆点图案的例子:

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    Peaks  occur when  that data value is greater than its   neighboring data points (on the left and right sides). For example, there is a peak at 1 sibling in the dot plot above, because having  zero  siblings and  two  siblings occur less frequently than having just one sibling.  
    ::峰值发生于数据值大于其相邻数据点(在左侧和右侧)时。 比如,上面点图中有一个峰值,因为兄弟姐妹和两个兄弟姐妹的零位频率比只有一个兄弟姐妹的频率要低。

    Clusters  occur when several data points within a data set occur within a small interval . For example, in the image below, there is a cluster between the values 2 and 4.  This means the majority of people practice between two to four hours.
    ::当数据集中的若干数据点在小间隔内出现时,即出现集群。例如,在下面的图像中,值2和4之间有一个集群,这意味着大多数人在2至4小时之间练习。

    Outliers  are data values that are either much greater or much less than other data values in the same set . For example, in the image below, there is an outlier at the value 13 . This means that one person practiced for 13 hours, which is significantly more than the others.
    ::外线值是数据值比同一组中其他数据值大得多或少得多的数据值。例如,在下面的图像中,值13有一个外线值。 这意味着一个人练习了13小时,大大超过其他人。

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    A  symmetric data distribution has approximately the same number of data values on either side of the center. 
    ::对称数据分布在中心两侧的数据值大致相同。

     

    Baseball Runs
    ::垒球跑

    A baseball team manager for the local middle school records the number of runs scored by the team in each game for several weeks. Use the data to make a dot plot on the interactive below.
    ::当地初中的棒球队队长记录球队在每场比赛中得分数数周。 使用数据在下面的交互式游戏上绘制点图 。

    # of Runs: {1, 3, 1, 7, 2, 0, 11, 2, 2, 3, 1, 3, 4, 2, 2, 4, 5, 2, 6}
    ::运行 # : {1, 3, 1, 1, 7, 2, 0, 11, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 2, 2, 4, 4, 4, 5, 2, 6}

    In order to create a dot plot, make a number line that ranges at least from the lowest data value to the highest data value (you can include slightly lower or slightly higher numbers on your number line than the data set includes to give a fuller picture).
    ::为了创建点图,请设定一个数字行,该行至少从最低数据值到最高数据值不等(您可以在数字线上略低或略高于数据集中包含的更全面图片)。

    In the interactive below, create a dot plot given a data set of the number of runs from the past nineteen baseball games. How would you describe the shape of the distribution?
    ::在下面的交互式游戏中, 创建一个点图, 给出一个数据组, 显示过去十九次棒球比赛的运行次数。 您如何描述分布的形状 ?

     

    INTERACTIVE
    Number of Runs Scored
    minimize icon

    Create the dot plot of the number of runs scored from the past 19 baseball games.
    ::创建从过去19次棒球比赛中得分的运行次数的点图 。

    # of Runs: {1, 3, 1, 7, 2, 0, 11, 2, 2, 3, 1, 3, 4, 2, 2, 4, 5, 2, 6}
    ::运行 # : {1, 3, 1, 1, 7, 2, 0, 11, 2, 2, 2, 2, 2, 3, 3, 3, 4, 2, 2, 2, 4, 4, 4, 5, 2, 6}

    • Drag each dot to its correct location on the dot plot.
      ::将每个点拖到点图的正确位置 。
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    How many movies did Natalie's friends see? 
    ::Natalie的朋友看过多少部电影?

    Natalie asked some friends how many movies they saw last summer. Use her data for the following questions. 
    ::Natalie问一些朋友去年夏天看过多少部电影。

    # Movies Seen Last Summer: {0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17}
    ::上个夏天的电影: {0, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9, 9, 9, 17}

    Use the interactive to create a dot plot given a data set of the number of movies seen from Natalie’s friends the past summer. How would you describe the center and spread of the distribution?
    ::使用互动来创建点图, 给出去年夏天从Natalie的朋友那里观看的电影数量的数据组。 您如何描述发行的中心和传播范围 ?

     

    INTERACTIVE
    How many movies did Natalie's friends see?
    minimize icon

    Create a dot plot that corresponds to the following data:
    ::创建与以下数据相对应的点图 :

    {0, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 17}

    • Drag the dots to their correct location on the dot plot.
      ::将点拖到点图的正确位置 。
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    Discussion Questions
    ::讨论问题 讨论问题

    1. What does the dot plot represent?
      ::点图代表什么?
    2. What does each dot represent?
      ::每个点代表什么?
    3. Describe the spread, center, and shape of data distribution. Any unusual features?
      ::描述数据分布的扩展、 中心及形状。 有什么不寻常的特征吗 ?

    Roll the Dice! 
    ::掷骰子!

    In the following interactive, create a dot plot by rolling a six-sided die many times. Try resetting the interactive to create different dot plots. 
    ::在接下来的互动中, 通过滚动六面死亡多次创建点图。 尝试重设交互图以创建不同的点图 。

     

    INTERACTIVE
    Roll the Dice!
    minimize icon
    • Click the button to roll the dice.
      ::单击按钮滚动骰子 。
    • Roll the dice at least 12 times.
      ::骰子滚动至少12次。
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    Precipitation Data 
    ::降降数据

    Use the dot plot below  to answer the following questions.
    ::使用下面的点图回答下列问题。

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    Extension
    ::延长

    This dot plot shows the same information as the dot plot above, how are they representing the same data? What is different about them? Remember you can write the months using number (1-12).
    ::此点图显示与上面的点图相同的信息, 它们如何代表相同的数据 ? 它们有什么不同 ? 记住您可以用数字( 1-12) 写入月份 。

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     Summary
    ::摘要

    Dot plot - a visual representation of a data set.
    ::点绘图 - 一组数据集的直观表示 。

    • Each piece of data is represented by a dot above a number line.
      ::每个数据部分用数字行上方的点表示。
    • Shows the frequency of data points within a given data set.
      ::在给定的数据集中显示数据点的频率。
    • Can tell you the range of data points, the most frequently occurring data point, the general distribution of data (symmetry, peaks, clusters) and any unusual features like outliers.
      ::可以告诉您数据点的范围、最经常发生的数据点、数据的一般分布(对称、峰值、组群)以及任何异常特征,如外部线。