Section outline

  • lesson content

    Mrs. Jones has ten children in her class, ranging from age 5 to 7. She wants to find the most common age of the students in her class, so she has asked them all their exact age and made a list:
    ::Jones夫人在班上有10个孩子,从5岁到7岁不等,她想找到班里学生最常见的年龄,所以她问了他们所有的确切年龄,并列了一张名单:

    5, 7, 5, 5, 6, 7, 7, 6, 5, 6

    How can Mrs. Jones find the most common age among her students? 
    ::琼斯太太怎么才能在学生中 找到最普通的年龄呢?

    In this concept, you will learn how to calculate mode.
    ::在此概念中,您将学习如何计算模式 。

    Calculating Mode
    ::计算模式

    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 mode.
    ::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,您将使用该模式分析数字数据。

    Mode  is the numerical value that occurs most frequently in a data set
    ::模式是数据集中最常出现的数值。

    To calculate the mode, look for the value that occurs most often. 
    ::要计算模式, 请寻找最常出现的值 。

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

    Find the mode of the data set:  47, 56, 51, 45, 56, and 41.
    ::查找数据集的模式:47、56、51、45、56和41。

    First, sort the data from least to greatest.
    ::首先,从最少到最大的数据排序。

    41, 45, 47, 51, 56, 56

    Next, look at the data set and find the value that occurs most often. In this data set the number 56 occurs twice. This is the mode.
    ::接下来,请查看数据集并找到最经常发生的值。在这个数据集中,56号发生两次。这就是模式。

    The answer is the mode is 56. 
    ::答案是模式是56。

    Examples
    ::实例

    Example 1
    ::例1

    Earlier, you were given a problem about Mrs. Jones and her class.
    ::早些时候,你被问及 琼斯夫人和她班级的问题

    Mrs. Jones asked her students their ages and has made a list so that she can calculate the mode age. 
    ::Jones夫人问她的学生他们的年龄 并列了一张名单 这样她就能计算出模式年龄

    5, 7, 5, 5, 6, 7, 7, 6, 5, 6

    First, list the data from smallest to largest. 
    ::首先,列出从最小到最大的数据。

    5, 5, 5, 5, 6, 6, 6, 7, 7, 7

    Next, determine which age occurs the most frequently.
    ::其次,确定哪个年龄最经常出现。

    In this case, 5 occurs four times. 
    ::在这种情况下,5起为4起。

    The answer is the mode age of Mrs. Jones class is 5 years old.
    ::答案是琼斯夫人班的 模式年龄是5岁

    Example 2
    ::例2

    The chart below shows the daily temperature in San Diego for the first seven days in August. Calculate the mode temperature.
    ::以下图表显示了圣地亚哥8月份头七天的每日温度。计算模式温度。

    San Diego Temperatures in August
    Date: Temperature:
    Sunday 8/1 88 F
    Monday 8/2 83 F
    Tuesday 8/3 87 F
    Wednesday 8/4 89 F
    Thursday 8/5 82 F
    Friday 8/6 79 F
    Saturday 8/7 87 F

    First, arrange the data from smallest to largest. 
    ::首先,安排数据从最小到最大。

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

    Next, look at the data to find which values occur most often. In this case,  87 F   occurs twice, which means it is the mode. 
    ::接下来, 请查看最常出现的值 。 在此情况下, 87 F 发生两次 , 这意味着它就是模式 。

    The answer is the mode is  87 F
    ::答案是模式是87-F。

    Example 3
    ::例3

    Find the mode of the following data set. 
    ::查找以下数据集的模式。

    13 , 13 , 45 , 45 , 67 , 89 , 13 , 67 , 67 , 67 , 13

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

    13, 13, 13, 13, 45, 45, 67, 67, 67, 67, 89

    Next, look at the data set to determine which values occur most often. In this case 13 and 67 each occur four times.  
    ::接下来,请查看数据集,以确定哪些值最经常发生,在此情况下,13和67个数值各发生四次。

    The answer is the mode is 13 and 67. 
    ::答案是模式13和67

    Example 4
    ::例4

    John wants to know his mode quiz grade based on the following scores.
    ::约翰想知道他模式的测验成绩 根据以下分数

    78, 90, 83, 88, 67, 91, 84, 69, 56

    First, order the data from smallest to largest. 
    ::首先,将数据从最小排序为最大排序。

    56, 67, 69, 78, 83, 84, 88, 90, 91

    Next, look at the data set to determine which values occur most often. In this case, no value is repeated. 
    ::接下来,看看数据集以确定哪些值最常发生。 在此情况下, 没有重复值 。

    The answer is there is no mode. 
    ::答案是不存在模式。

    Example 5
    ::例5

    Miguel measured the height of eight students in his class in inches. Find the mode of the heights below. 
    ::Miguel测量了班级8名学生身高的英寸。 找到以下高度模式 。

    51 45 47 51 50 56 52 50

    First, sort the data from smallest to largest. 
    ::首先,将数据从最小到最大排序。

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

    Next, look at  the  data set to determine which values occur most often. In this set, 50 and 51 each occur twice. 
    ::接下来,请查看数据集,以确定哪些值最经常发生。在这个数据集中,50和51个数值各发生两次。

    The answer is the mode of Miguel's classmate heights are 50" and 51". 
    ::答案是米格尔同学身高的 模式是50"和51"

    Review
    ::回顾

    Identify the mode for the following sets of data.
    ::确定下列数据集的模式。

    1. 2, 3, 3, 3, 2, 2, 2, 5, 6, 7, 7, 7, 7
    2. 4, 5, 6, 6, 6, 7, 3, 2, 6, 5, 5
    3. 23, 22, 22, 24, 25, 25, 25, 21, 20, 22, 27
    4. 123, 120, 121, 120, 121, 125, 121, 121
    5. 678, 600, 655, 655, 600, 678, 600, 600
    6. 4, 5, 4, 5, 3, 3, 4, 4, 4, 4, 6
    7. 6, 7, 8, 3, 2, 4, 4, 7, 7, 7
    8. 11, 10, 9, 13, 14, 16, 11, 10, 11
    9. 21, 23, 25, 22, 22, 27, 21, 22, 21, 21
    10. 27, 29, 29, 32, 30, 32, 31, 33, 33, 33, 33
    11. 34, 35, 34, 37, 38, 39, 39, 34, 34
    12. 43, 44, 43, 46, 39, 50, 43, 43, 51, 51
    13. 122, 100, 134, 156, 144, 110, 110
    14. 224, 222, 220, 222, 224, 224, 221, 222, 223, 225
    15. 540, 542, 544, 550, 548, 547, 547, 550, 550, 548

    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