11.4 传播范围

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  分布范围

  

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  Mr. Campbell teaches an English as Second Language (ESL) class and has just finished grading his students' end of year exam. He has the scores organized in a table, but wants to provide feedback to the class on the range of the scores. How can Mr. Campbell find the range of scores on the English exam?
  ::Campbell先生教授英语作为第二语言课,刚完成学生年终考试的分级,他把分数安排在一张桌子上,但想就分数范围向班级提供反馈。 Campbell先生如何在英语考试中找到分数范围?

  Mr. Campbell's ESL Final Exam Results

  播放段落 Student ::学生学生	播放段落 Test Score (%) ::测试得分(%)
  播放段落 AS ::AS AS, AS,	89
  播放段落 AS ::AS AS, AS,	91
  播放段落 BC ::中不不列公	87
  播放段落 CS ::CSS 缩记	77
  播放段落 FR ::联邦联邦联邦	72
  播放段落 JW ::JW 日元	59
  播放段落 ML ::ML 毫升	76
  播放段落 MY ::我的,我	68
  播放段落 ST ::STST STST	91
  播放段落 SR ::SR SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR	83
  播放段落 VS ::VS 甚高	81
  播放段落 ZS ::ZS 区	73

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  In this concept, you will learn how to calculate the range of a data set .
  ::在此概念中,您将学会如何计算数据集的范围。

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  Calculating Range
  ::计算范围

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  Data is a set of numerical or non-numerical information. Data can be analyzed in many different ways. In this concept you will analyze numerical data using the range.
  ::数据是一组数字信息或非数字信息。数据可以多种不同方式分析。在此概念中,您将使用范围分析数字数据。

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  The range  of a set of data is the difference between the largest and smallest values. The range identifies how far apart the values in the data set are. 
  ::一组数据的范围是最大值和最小值之间的差别。该范围确定数据集中值的距离。

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  Let's look at an example.
  ::让我们举个例子。

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  Find the range of the data set:  47, 56, 51, 45, and 41.
  ::查找数据集的范围:47、56、51、45和41。

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  First, arrange the numbers from smallest to largest. 
  ::首先,安排从最小到最大的数字。

  41, 45, 47, 51, 56

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  Next, find the difference between the largest and smallest number. The largest value is 56 and the smallest value is 41. To find the difference subtract 41 from 56. 
  ::其次,找到最大数字和最小数字之间的差别。最大值为56,最小值为41。要找出差异,从56中减去41。

  $\begin{array}{r}56-41=15\end{array}$

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  The difference between the numbers is the range. 
  ::数字之间的差别是范围。

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  The answer is the range is 15. 
  ::答案是范围是15

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  Examples
  ::实例

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  Example 1
  ::例1

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  Earlier, you were given a problem about Mr. Campbell, who has the test results from the final exam and needs to calculate the range of scores.
  ::早些时候,你遇到一个坎贝尔先生的问题 他拿到了期末考试的考试结果 需要计算得分范围

  Mr. Campbell's ESL Final Exam Results

  播放段落 Student ::学生学生	播放段落 Test Score (%) ::测试得分(%)
  播放段落 AS ::AS AS, AS,	89
  播放段落 AS ::AS AS, AS,	91
  播放段落 BC ::中不不列公	87
  播放段落 CS ::CSS 缩记	77
  播放段落 FR ::联邦联邦联邦	72
  播放段落 JW ::JW 日元	59
  播放段落 ML ::ML 毫升	76
  播放段落 MY ::我的,我	68
  播放段落 ST ::STST STST	91
  播放段落 SR ::SR SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR , SR	83
  播放段落 VS ::VS 甚高	81
  播放段落 ZS ::ZS 区	73

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  First, organize the data from smallest to greatest. 
  ::首先,组织数据 从最小到最大。

  59, 68, 72, 73, 76, 77, 81, 83, 87, 89, 91, 91

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  Next, calculate the difference between the greatest and smallest values. The greatest value is 91 and the smallest is 59. To find the difference, subtract 59 from 91. 
  ::接下来,计算最大值和最小值之间的差数。最大值为91,最小值为59。要找到差数,从91中减去59。

  $\begin{array}{r}91-59=32\end{array}$

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  The answer is the range is 32%.
  ::答案是范围是32%。

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  Example 2
  ::例2

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  The chart below shows the daily temperature in San Diego for the first seven days in August. Calculate the range of the temperatures.
  ::下面的图表显示了圣地亚哥8月份头七天的每日温度。 计算温度范围 。

  San Diego Temperatures in August

  Date:	Temperature:
  Sunday 8/1	$\begin{array}{r}{88}^{\circ }F\end{array}$
  Monday 8/2	$\begin{array}{r}{83}^{\circ }F\end{array}$
  Tuesday 8/3	$\begin{array}{r}{87}^{\circ }F\end{array}$
  Wednesday 8/4	$\begin{array}{r}{89}^{\circ }F\end{array}$
  Thursday 8/5	$\begin{array}{r}{82}^{\circ }F\end{array}$
  Friday 8/6	$\begin{array}{r}{79}^{\circ }F\end{array}$
  Saturday 8/7	$\begin{array}{r}{87}^{\circ }F\end{array}$

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  First, arrange the temperatures from smallest to greatest.
  ::首先,从最小到最大的温度

  79, 82, 83, 87, 87, 88, 89

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  Next, find the difference between the largest and smallest values. The largest value is 89 and the smallest is 79. 
  ::其次,找到最大值和最小值之间的差别。最大值为89,最小值为79。

    $\begin{array}{r}89-79=10\end{array}$

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  The answer is the range of temperatures is  $\begin{array}{r}{10}^{\circ }F\end{array}$ .
  ::答案是温度范围是10°F

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  Example 3
  ::例3

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  Find the range of the following data set. 
  ::查找以下数据集的范围。

  $\begin{array}{r}12,14,15,16,18,20\end{array}$

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  First, arrange the numbers from smallest to largest. In this case, the numbers are already ordered from smallest to largest. 
  ::首先,将数字从最小到最大排列,在此情况下,数字已经从最小到最大排序。

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  Next, calculate the difference between the largest and smallest numbers, 20 and 12. 
  ::接下来,计算最大数字和最小数字(20和12)之间的差额。

  $\begin{array}{r}20-12=8\end{array}$

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  The answer is the range is 8. 
  ::答案是范围是8

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  Example 4
  ::例4

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  John wants to find the range of his quiz grades. He has the following quiz scores. 
  ::约翰想找出他的测验成绩范围,他有以下测验成绩。

  78, 90, 83, 88, 67, 90, 84, 69, 56

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  First, order the numbers from smallest to largest.
  ::首先,将数字从最小到最大顺序排列。

  56, 67, 69, 78, 83, 84, 88, 90, 90

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  Next, subtract the smallest number from the largest number. In this case the smallest number is 56 and the largest is 90. 
  ::其次,从最大数量中减去最小数量。在此情况下,最小数量为56个,最大数量为90个。

    $\begin{array}{r}90-56=34\end{array}$

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  The answer is the range of John's quiz grades is 34. 
  ::答案是约翰的测验成绩范围是34分

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  Example 5
  ::例5

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  Miguel measured the height of eight students in his class in inches. Find the range of the heights below. 
  ::Miguel测量了班级8名学生身高的英寸。 查找以下的高度范围 。

  45, 47, 50, 50, 51, 51, 52, 56

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  First, sort the data from smallest to largest. In this case, the data is already ordered from smallest to largest. 
  ::首先, 将数据从最小排序到最大。 在这种情况下, 数据已经从最小排序到最大 。

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  Next, find the difference between the smallest and largest heights, 45 and 56 inches.
  ::接下来,找到最小和最大高度的差别, 45和56英寸。

  $\begin{array}{r}56-45=11\end{array}$

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  The answer is the range of the student heights is 11".
  ::答案是学生身高的距离是11。”

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  Review
  ::回顾

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  Analyze each data set.
  ::分析每个数据集。

  $\begin{array}{r}32294035422540\end{array}$

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  1. Mean –
     ::平均 -
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  2. Median –
     ::中 - 中 -
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  3. Mode –
     ::模式 -
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  4. Range –
     ::范围 -

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  The weekly paychecks for ten part-time employees are: $140, $132, $200, $150, $175, $200, $180, $95, $145, and $155.
  ::10名非全时雇员的每周工资支票是:140美元、132美元、200美元、150美元、175美元、200美元、180美元、95美元、145美元和155美元。

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  5. Mean –
     ::平均 -
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  6. Median –
     ::中 - 中 -
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  7. Mode –
     ::模式 -
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  8. Range –
     ::范围 -

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  The data set below depicts the number of points LeBron James scored in the last five NBA games.
  ::以下的数据集描述了过去5次NBA游戏中LeBron James得分的分数。

  $\begin{array}{r}2527252922\end{array}$

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  9. Mean –
     ::平均 -
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  10. Median –
      ::中 - 中 -
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  11. Mode –
      ::模式 -
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  12. Range –
      ::范围 -

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  Here is the number of days that it took the mushers of the Iditarod to finish the race in 2010.
  ::这是2010年Iditarod的马舍尔人完成比赛的天数。

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  8 days, 9 days, 9 days, 9 days, 9 days, 9 days, 9 days, 9 days, 9 days, 9 days
  ::8天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天、9天

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  13. Mean –
      ::平均 -
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  14. Median –
      ::中 - 中 -
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  15. Mode –
      ::模式 -
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  16. Range –
      ::范围 -

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  Review (Answers)
  ::回顾(答复)

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  Click to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
  ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。

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  Resources
  ::资源