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  • 四分位数


    lesson content

    William is making a sales report for the week. The number of items sold were as follows:
    ::威廉正在做本周的销售报告 销售的物品数量如下:

    Monday - 42
    ::星期一-42

    Tuesday - 32
    ::星期二 - 32号

    Wednesday - 80 
    ::星期三 - 80

    Thursday - 75 
    ::- 75日星期四

    Friday - 90 
    ::星期五 - 90日

    Saturday - 65
    ::星期六 - 65

    Sunday - 22 
    ::星期日 - 22

    What measure of  data  does William need to build a  box-and-whisker plot  for his report?
    ::威廉需要什么样的数据 来为他的报告 建立一个纸箱和口哨图?

    In this concept, you will learn how to find measures of data to build a box-and-whisker plot.
    ::在这个概念中,你将学会如何找到数据量度 来构建一个纸箱和口哨的地块。

    Quartiles
    ::区数

    Once you have collected data, you can graph the information with a box-and whisker plot. Before building a box-and-whisker plot, you will need to find the  ,  quartile , and  extremes  of the data. 
    ::一旦您收集了数据, 您就可以用一个插盒和插孔图绘制信息图。 在构建一个插盒和插孔图之前, 您需要找到数据中的四分位数和极端值 。

    The  median  is the middle number in a set of data that is ordered from least to greatest. If there is an odd number of values, the middle number is the median. If there is an even number of values, the  average  of the two middle values is the median.
    ::中位数是一组数据中的中位数, 从最小点到最大点。 如果有奇数的值, 中位数是中位数。 如果有偶数的值, 两个中位数的平均值是中位数 。

    Here is a  data set  from a  survey  of the number of hours worked by teenagers with part-time jobs. 
    ::以下是非全日工作的青少年工作小时数调查的一组数据。

    16, 10, 8, 8, 11, 11, 12, 15, 10, 20, 6, 16, 8

    First, order the data from least to greatest including any repeated numbers.
    ::首先,将数据从最少顺序排列为最多顺序,包括任何重复数字。

    6, 8, 8, 8, 10, 10, 11, 11, 12, 15, 16, 16, 20

    Then, identify the median. There are 13 values in the data set. Remember that the median is the middle number in a data set with an odd number of values. The median is 11.
    ::然后指出中位数。 数据集中有13个值。 记住中位数是一组数值奇数的数据集中的中位数。 中位数是11。 中位数是11 。

    6, 8, 8, 8, 10, 10,  11 , 11, 12, 15, 16, 16, 20

    Use the median to divide the data set into two parts. The first half are the values from 6 to 10 and the second half are the values starting at the second 11 up to 20.
    ::使用中位数将数据集分为两个部分。 上半部分为6至10的值,后半部分为从第二个11至20的值。

    6, 8, 8, 8, 10, 10, 11 , 11, 12, 15, 16, 16, 20

    A  quartile  divides the data set into 4 parts. The median of the first half of the data is called the  lower quartile . The median of the second half of the data is called the  upper quartile .
    ::四分位数将数据集分为四个部分。数据前半部分的中位数称为下四分位数。数据后半部分的中位数称为上四分位数。

    The lower quartile is the average between 8 and 8. The lower quartile is 8.
    ::下四分位数为8到8之间的平均值,下四分位数为8。

    The upper quartile is the average between 15 and 16. The upper quartile is 15.5.
    ::上四分位数为15至16之间的平均值,上四分位数为15.5。

    6, 8, 8 | 8, 10, 10,  11 , 11, 12, 15 | 16, 16, 20

    The  extremes  are the lowest value in a data set (the  lower extreme ) and the highest value in a data set (the  upper extreme ).
    ::极端值是数据集中的最低值(最低值)和数据集中的最高值(最高值)。

    In the data set, 6 is the lower extreme and 20 is the upper extreme.
    ::在数据集中,6个为低端,20个为高端。

    This information will be used to make a box-and-whisker plot. 
    ::此信息将被用于绘制一个纸箱和口哨图 。

    Examples
    ::实例

    Example 1
    ::例1

    Earlier, you were given a problem about William's sales report.
    ::之前,你对威廉的销售报告有意见

    William needs to identify measure of data to build a box-and-whisker plot for his sales report.
    ::威廉需要确定数据量度 以建立一个盒子和口哨图 在他的销售报告。

    Monday - 42  
    ::星期一-42

    Tuesday - 32  
    ::星期二 - 32号

    Wednesday - 80 
    ::星期三 - 80

    Thursday - 75 
    ::- 75日星期四

    Friday - 90 
    ::星期五 - 90日

    Saturday - 65
    ::星期六 - 65

    Sunday - 22 
    ::星期日 - 22

    Find the median, lower quartile, upper quartile, lower extreme, and upper extreme of the data set. 
    ::查找数据集的中位数、下四分位数、上四分位数、下端极端数和上端极端数。

    First, order the data values from least to greatest.
    ::首先,将数据值从最小到最大排序。

    22, 32, 42, 65, 75, 80, 90

    Then, identify the median. The middle value is 65.
    ::然后,确定中位数。中间值是65。

    Next, identify the lower and upper quartile. The median of the first data set is 32. The median of the second data set is 80. 
    ::其次,确定上下四分位数。第一个数据集的中位数是32。第二个数据集的中位数是80。

    After that, identify the lower and upper extremes. The lowest value is 22 and the highest value is 90.
    ::在此之后, 请标明下端和上端的极端。 最低值为 22, 最高值为 90 。

    The measures of data are as follows.
    ::数据计量如下。

    median: 65
    ::中中中:65

    lower quartile: 32
    ::下四分位: 32

    upper quartile: 80
    ::上四角倾角度:80

    lower extreme: 22
    ::下下极点:22

    upper extreme:90
    ::上端极端:90

    Example 2
    ::例2

    What is the median of this data set?
    ::这一数据集的中位数是多少?

    4, 5, 12, 11, 9, 8, 7, 4, 3

    First, order the values from least to greatest.
    ::首先,将价值从最小到最大排序。

    3, 4, 4, 5, 7, 8, 9, 11, 12

    Then, identify the median. There are nine values in this data set. The median is the middle number.
    ::然后指出中位数。 在这个数据集里有 9 个值。 中位数是中位数 。

    3, 4, 4, 5,  7 , 8, 9, 11, 12

    The median is 7.
    ::中位数为7。

    Example 3
    ::例3

    What is the median of this data set?
    ::这一数据集的中位数是多少?

    4, 4, 5, 6, 7, 8, 11, 13, 16

    The values are already listed in order from least to greatest.
    ::数值已经按照从最小到最大顺序排列。

    Identify the middle value.
    ::确定中间值。

    4, 4, 5, 6,  7 , 8, 11, 13, 16

    The median is 7.
    ::中位数为7。

    Example 4
    ::例4

    What is the lower and upper quartile of this data set?
    ::这个数据集的上下四分位数是什么?

    4, 4, 5, 6, 7, 8, 11, 13, 16

    First, identify the median of the first half of the data set. 
    ::首先,确定数据集前半部分的中位数。

    4, 4 | 5, 6,  7 , 8, 11, 13, 16

    The lower quartile is between 4 and 5.
    ::下四分位数在4到5之间。

    Then, identify the median of the second half of the data set.
    ::然后,确定数据集后半部分的中位数。

    4, 4 | 5, 6,  7 , 8, 11 | 13, 16

    The upper quartile is between 11 and 13.
    ::上四分位数在11到13之间

    The lower quartile is 4.5 and the upper quartile is 12. 
    ::下四分位数为4.5,上四分位数为12。

    Example 5
    ::例5

    What are the extremes of this data set?
    ::这个数据集的极端之处是什么?

    4, 4, 5, 6, 7, 8, 11, 13, 16

    The lowest value is 4 and the highest value is 16.
    ::最低值为4,最高值为16。

    The lower extreme is 4 and the upper extreme is 16. 

    ::低极为4,高极为16。

    Review
    ::回顾

    Use each data set to answer the questions following it.
    ::使用每个数据集回答随后的问题。

    3, 5, 6, 8, 11, 13, 15, 17, 19

    1. How many values are there in this data set?
      ::此数据集中有多少值 ?
    2. What is the median of the data?
      ::数据的中位数是多少?
    3. What is the range?
      ::范围是多少?
    4. What is the upper quartile?
      ::上四分位体是什么?
    5. What is the lower quartile?
      ::什么是低四分位数?
    6. What are the extremes?
      ::什么是极端?

    100, 112, 115, 122, 123, 126, 130, 131

    1. How many values are there in this data set?
      ::此数据集中有多少值 ?
    2. What is the median of the data?
      ::数据的中位数是多少?
    3. What is the range?
      ::范围是多少?
    4. What is the upper quartile?
      ::上四分位体是什么?
    5. What is the lower quartile?
      ::什么是低四分位数?
    6. What are the extremes?
      ::什么是极端?

    113, 120, 131, 142, 150, 155, 157, 161, 167

    1. How many values are there in this data set?
      ::此数据集中有多少值 ?
    2. What is the median of the data?
      ::数据的中位数是多少?
    3. What is the range?
      ::范围是多少?
    4. What is the upper quartile?
      ::上四分位体是什么?
    5. What is the lower quartile?
      ::什么是低四分位数?
    6. What are the extremes?
      ::什么是极端?

    Review (Answers) 
    ::回顾(答复)

    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 。

    Resources
    ::资源