3.21茎叶地块
章节大纲
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Mrs. Jackson teaches 7 different sections of math. Students can earn raffle tickets for good behavior each day. At the end of the week, she adds all of the tickets earned by students to see which class has earned the most tickets. She has the following totals: 78, 86, 52, 67, 70, 75 and 78. The next week, she asks the students to create a stem-and-leaf plot to organize the data . How would you create this diagram?
::Jackson夫人教授7个不同的数学部分。 学生们可以每天为表现良好而挣到彩票。 周末, 她增加了学生们赚到的所有票, 看看哪个班赢得的票最多。 她的总数如下: 78, 86, 52, 67, 70, 75和78。 下周, 她要求学生们制作一个干叶图来组织数据。 您如何创建这个图表 ?In this concept, you will learn how to build a stem-and-leaf plot to organize the data.
::在这个概念中,你将学会如何建立一个干叶图来组织数据。Organizing Data Using Stem-and-Leaf Plots
::利用STem-Leaf 草图组织数据A stem-and-leaf plot is a visual diagram where numbers are organized according to place value. The data (the numbers) are organized in either ascending or descending order.
::树干和树叶图是一个直观的图表,其中数字按地点值排列。数据(数字)是按升序或降序排列的。To build a stem-and-leaf plot, use place value as your method of organizing data.
::要构建干叶图, 请使用位置值作为您整理数据的方法 。If you have a 15 as a number, the stem would be a ten since that is the tens place value. The leaf would be the 5.
::如果你有一个15个数字, 干线是10个, 因为那是十万个位值。 叶子是五个。Here is how it looks as a stem-and-leaf plot.
::这就是它看起来像干叶草的图案。This means 15.
::这意味着15。A stem-and-leaf plot is most useful when looking at a series of data. When you have a series of data, you can organize the data according to place value.
::当查看一系列数据时,干叶图最为有用。当您有一系列数据时,您可以按照地点值组织数据。Let's look at an example.
::让我们举个例子。22, 15, 11, 22, 24, 33, 45
First, organize the numbers by the tens place since all of the numbers have tens places as the highest place value.
::首先,将数字按十位数排列,因为所有数字都有十位数作为最高位数。11, 15, 22, 22, 24, 33, 45
Next, put each stem on the left side of our vertical line.
::接下来,把每根干草都放在我们垂直线的左侧。Notice that the largest of each place is on the left of the lines. Now put the ones or the leaves on the right of the vertical line.
::注意每个地方的最大位置都在线的左侧。 现在将叶子或叶子放在垂直线的右侧 。This is the completed stem-and-leaf plot. Each number in the data has been organized and repeated values are listed in the chart. The tens place is on the left for each number and the ones places that go with each ten are on the right side of the vertical bar.
::这是已完成的干叶图。 数据中的每个数字都是有组织的, 图表中列出了重复值 。 每个数字左侧有 10 个位数, 每 10 个位数对应的位数在垂直栏的右侧 。Let's look at another example.
::让我们再举一个例子。Make a stem-and-leaf plot from the data.
::从数据中绘制干叶图。33, 34, 36, 45, 40, 62, 67, 68
Start by organizing the stems separate from the leaves.
::从树枝与树叶分离开始Notice that there isn’t a number in the fifties in the list of data, but you still need to include the stem in the stem-and-leaf plot.
::注意数据列表中五十年代没有数字,Each stem and set of leaves creates an interval . The interval is a range of values in each stem.
::每个干叶和叶子组组成一个间距。 间距是每个干叶的值范围 。Let’s look at the intervals for the stem-and-leaf plot you just created.
::让我们看看你们刚刚创造的干叶图的间隔。The interval for the 30’s is 33 - 36.
::30年代的间隔是33-36岁。The interval for the 40’s is 40 - 45.
::40年代的间隔是40到45岁The interval for the 60’s is 62 - 68.
::60年代的间隔是62 - 68Examples
::实例Example 1
::例1Earlier, you were given a problem about Mrs. Jackson and her raffle tickets.
::早些时候,有人给了你杰克逊太太 和她的彩票的问题Her classes earned the following number of tickets: 78, 86, 52, 67, 70, 75 and 78. How can her students arrange the data on a stem-and-leaf plot?
::她的班级挣得的票数如下:78、86、52、67、70、75和78;她的学生如何安排有关干叶图的数据?First, arrange the numbers from least to greatest.
::首先,从最少到最大的数字排列。52, 67, 70, 75, 78, 78, 86
Then, use the tens units as the stem and the ones units as the leaves
::然后,用几十个单位作为干干,用几十个单位作为叶子The above stem-and-leaf plot represents the data.
::上述干叶图代表了数据。Example 2
::例2Use the stem-and-leaf plot to answer the question.
::使用干叶图解答问题。What is the largest value in the forties?
::四十年代最大的价值是什么?First, locate the stem.
::首先,找到干草的位置。4
Next, locate the last leaf for that stem.
::下一个,找到最后的叶子 干草。5
Then, write the number.
::那就写号码吧45
The answer is 45. The largest value in the forties is 45.
::答案是45,四十年代最大的价值是四十五Example 3
::例3Use the stem-and-leaf plot below to answer this question.
::使用下面的干叶图解答这个问题。What is the greatest value in the twenties?
::20年代最大的价值是什么?First, locate the stem.
::首先,找到干草的位置。2
Next, locate the last leaf for that stem.
::下一个,找到最后的叶子 干草。4
Then, write the number.
::那就写号码吧24
The answer is 24. The greatest value in the twenties is 24.
::答案是24,20年代最大的价值是24。Example 4
::例4Use the stem-and-leaf plot in example 3 to answer this question.
::使用例3中的干叶图解答这个问题。What is the first interval of the data?
::数据的第一间隔是什么 ?First, look at the first stem.
::首先,看看第一个干线。1
Next, look at the lowest leaf and the highest leaf in the stem.
::接下来,看看最底层的叶子 和干叶中最高的叶子1 and 5
::1和5Then, write the interval.
::然后,写下间隔。11 - 15
The answer is 11 - 15. The interval is 11 - 15.
::回答是11 -15 间隔是11 -15Example 5
::例5Use the stem-and-leaf plot in example 3 to answer this question.
::使用例3中的干叶图解答这个问题。What is the greatest value in the data set ?
::数据集的最大价值是什么?First, locate the highest stem.
::首先,找到最高干线4
Next, locate the highest leaf.
::下一个 找到最高叶子的位置5
Then, write the number.
::那就写号码吧45
The answer is 45. The greatest value in the data set is 45.
::答案是45,数据集的最大价值是45。Review
::回顾Build a stem-and-leaf plot for each of the following data sets.
::为以下各数据集建立一个干叶图。- 42, 44, 45, 46, 51, 52, 53, 60, 81, 82
- 13, 11, 20, 21, 22, 30, 31, 32
- 44, 45, 46, 48, 51, 53, 55, 67, 69
- 10, 19, 19, 10, 11, 13, 14, 14, 15
- 12, 13, 13, 21, 22, 23, 34, 37, 40
- 45, 46, 46, 46, 52, 52, 54, 77, 78, 79
- 60, 60, 62, 63, 70, 71, 71, 88, 87, 89
- 80, 81, 82, 90, 91, 92, 93, 93, 93, 94
- 11, 12, 12, 13, 14, 14, 20, 29, 30, 32, 32, 52
- 33, 45, 46, 47, 60, 72, 73, 74, 88, 89
- 10, 23, 24, 25, 30, 31, 32, 33, 45, 46
Look at the first stem-and-leaf plot you created and answer the following questions.
::看看你们创造的第一块干叶草, 并回答以下的问题。-
What is the lowest value in the data set?
::数据集的最低值是多少? -
What is the greatest?
::什么是最伟大的? -
Are there any stems without leaves?
::有没有没有树叶的树枝? -
Which ones?
::哪一个?
Review (Answers)
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