模式

[Figure 1]

::[图1]

Clark plays on his high school basketball team. Every game, their player  statistics  are kept track of and Clark reviews the amount of points he scores each game. Here are Clark's points scored for each game this season:
::克拉克在高中篮球队上踢球。每场比赛,他们的玩家统计数字都会被记录下来, 克拉克审查每场比赛得分的分数。 这是克拉克本季每场比赛得分的分数:

12, 17, 11, 13, 14, 22, 11, 13, 17, 13, 14, 13, 19, 12

Clark wants to know which amount of points he scored most often this season. To do this, Clark needs to see which number of points shows up most often in his  data set .
::克拉克想知道这个季节他得分最多的是哪个分数。要做到这一点,克拉克需要看看在他的数据集中有多少分数最常出现。

In this concept, you will learn how to find the mode of a set of  data .
::在这个概念中,你会学会如何找到一组数据的模式。

Mode
::模式模式

The  mode  of a set of data is simply the number that occurs most often. Putting the data in numerical order makes it easy to see how often each value in the data set occurs.
::一组数据的模式仅仅是最经常发生的数字。按数字顺序排列数据很容易看出数据集中每个数值的发生频率。

Here is an example:
::以下是一个例子:

61, 54, 60, 59, 54, 51, 60, 53, 54

First, put the data in numerical order.
::首先,将数据按数字顺序排列。

51, 53, 54, 54, 54, 59, 60, 60, 61

Next, look for any numbers that repeat. Both 54 and 60 appear in the data set more than once. The mode is only which value appears the most.
::接下来,请查找重复的任意数字。54和60都不止一次出现在数据集中。该模式仅显示哪个值最多。

Then, choose the value that appears most in the data set.
::然后,选择数据集中显示最多的值。

The answer is 54.
::答案是54。

If there aren't any numbers that occur more than once, or if numbers appear in the set the same number of times, the set has no single mode.
::如果没有任何数字出现不止一次,或者数字出现在一组数字中相同次数,则该组没有单一模式。

22, 19, 19, 16, 18, 21, 30, 16, 27

In the set above, both 16 and 19 occur twice. No number in the set happens the  most  often, so there is no single mode for this set (since there are exactly two modes, this set may be called  bimodal ).
::在上述集中,16和19发生两次。在集中,没有最经常出现的数字,因此没有这一集的单一模式(因为完全有两种模式,这组可以称为双模式)。

Examples 
::实例

Example 1
::例1

Earlier, you were given a problem about Clark and his basketball points.
::早些时候,你被问及 克拉克和他的篮球点的问题。

He wants to figure out which number of points in a game he has scored most often. Here are Clark's statistics:
::他想弄清楚他最常得分的游戏中有多少分数。 以下是克拉克的统计数字:

12, 17, 11, 13, 14, 22, 11, 13, 17, 13, 14, 13, 19, 12

What is the mode of Clark's data?
::克拉克的数据是什么模式?

First, Clark puts his points in numerical order from least to greatest.
::首先,克拉克提出他的分数 从最少到最大的数字顺序。

11, 11, 12, 12, 13, 13, 13, 13, 14, 14, 17, 17, 19, 22

Next, Clark looks for repeating scores in his data set. Clark has multiple points that he scored in more than one game: 11, 12, 13, 14, and 17.
::接下来,克拉克在数据集中寻找重复的分数。克拉克有多个分数,他在不止一个游戏中得分:11、12、13、14和17。

Then, Clark looks for the scored points that occurs most often in his data set. Clark scored 13 points in 4 different games.
::然后,克拉克寻找在数据集中最常出现的得分点。克拉克在四个不同的游戏中得13分。

The answer is 13. This is the point value Clark scored in games most often.
::答案是13 这是克拉克在游戏中得分最多的点值 。

Example 2
::例2

Suppose the data below shows how many people visit the zoo each afternoon. What amount of people is the most frequent number of visitors. In other words, what is the mode of the data set?
::假设以下数据显示每个下午有多少人参观动物园。 访客最多的是多少人。 换句话说, 数据集的模式是什么 ?

68, 104, 91, 80, 91, 65, 90, 91, 70, 80

First, put the numbers in numerical order.
::首先,按数字顺序排列数字。

65, 68, 70, 80, 80,  90, 91, 91, 91, 104

Next, look for numbers in the data set that repeat. Both 80 and 91 repeat in the data set.
::接下来,在重复的数据集中查找数字。在数据集中重复80和91。

Then, choose the number in the data set that occurs the most. 91 occurs 3 times whereas 80 occurs 2 times.
::然后,选择最常出现的数据集中的数字。 91是3倍,80是2倍。

The answer is 91.
::答案是91号

Example 3
::例3

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

2, 4, 4, 4, 6, 7, 8, 8, 10, 10, 11, 12

First, put the data in numerical order. This data set is already in numerical order.
::首先,将数据按数字顺序排列。该数据集已经按数字顺序排列。

Next, look for repeating numbers in the data set. Multiple numbers repeat in this data set: 4, 8, 10.
::接下来,在数据集中查找重复数字。在本数据集中重复多个数字:4、8、10。

Then, choose the number that occurs most in the data set. Four occurs more than 8 and 10 does. 
::然后选择数据集中发生最多的数字。 4个发生超过8个, 10个发生超过8个 。

The answer is 4.
::答案是4。

Example 4
::例4

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

5, 8, 9, 1, 2, 9, 8, 10, 11, 18, 19, 20

First, put the data in numerical order.
::首先,将数据按数字顺序排列。

1, 2, 5, 8, 8, 9, 9, 10, 11, 18, 19, 20

Next, look for repeating numbers in the data set. The numbers 8 and 9 both repeat in the set.
::接下来,在数据集中查找重复的数字。数字8和9在数据集中都重复。

Then, choose the number that occurs most in the data set. In this case, 8 and 9 occur the same number of times; therefore, there is no single mode for a number that occurs most often.
::然后选择数据集中发生最多的数字。 在这种情况下, 8和9 发生的次数相同; 因此, 最经常发生的数字没有单一模式 。

The answer is there is no single mode.
::答案是没有单一模式。

Example 5
::例5

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

12, 12, 5, 6, 7, 11, 23, 23, 67, 23, 89, 23

First, put the data in numerical order.
::首先,将数据按数字顺序排列。

5, 6, 7, 11, 12, 12, 23, 23, 23, 23, 67, 89

Next, look for repeating numbers in the data set. The numbers 12 and 23 both repeat in this data set.
::接下来,在数据集中查找重复的数字。数字12和23都在本数据集中重复。

Then, choose the number that occurs most in the data set. The number 12 occurs twice while 23 repeats four times.
::然后,选择数据集中发生最多的数字。数字12发生两次,23次重复四次。

The answer is 23.
::答案是23岁

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
2. 4, 5, 6, 6, 6, 7, 3, 2
3. 23, 22, 22, 24, 25, 25, 25
4. 123, 120, 121, 120, 121, 125, 121
5. 678, 600, 655, 655, 600, 678, 600, 600
6. 4, 5, 4, 5, 3, 3
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
10. 27, 29, 29, 32, 30, 32, 31
11. 34, 35, 34, 37, 38, 39, 39, 34, 34
12. 43, 44, 43, 46, 39, 50, 43, 43
13. 122, 100, 134, 156, 144, 110, 110
14. 224, 222, 220, 222, 224, 224
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