数据表示有哪些不同的方式?
收集数据并大量分析数据的过程称为统计。它是数学交易的一个分支,收集、分析、解释和呈现数字事实和数字。
它是一个数字语句,可帮助我们收集和分析大量数据,统计数据基于其两个概念:
- 统计数据
- 统计科学
统计数据必须以数字形式表示,并且应该系统地收集。
数据表示
数据一词是指构成人、事物、事件、想法。它可以是标题、整数或任播。收集数据后,调查人员必须将它们压缩为表格形式,以研究它们的显着特征。这种安排被称为数据的呈现。
它是指将收集的数据以表格或图形的形式浓缩的过程。这种数据排列称为数据表示。
该行可以按不同的顺序放置,例如可以按升序、降序或按字母顺序显示。
Example: Let the marks obtained by 10 students of class V in a class test, out of 50 according to their roll numbers, be:
39, 44, 49, 40, 22, 10, 45, 38, 15, 50
The data in the given form is known as raw data. The above given data can be placed in the serial order as shown below:
Now, if you want to analyse the standard of achievement of the students. If you arrange them in ascending or descending order, it will give you a better picture.
Ascending order:
10, 15, 22, 38, 39, 40, 44. 45, 49, 50
Descending order:
50, 49, 45, 44, 40, 39, 38, 22, 15, 10
When the row is placed in ascending or descending order is known as arrayed data.
图形数据表示的类型
条形图
条形图帮助我们直观地表示收集的数据。收集的数据可以在条形图中水平或垂直显示,如数量和频率。它可以分组或单个。它有助于我们比较不同的项目。通过查看所有条形,很容易判断一组数据中的哪些类型会影响其他数据。
Now let us understand bar chart by taking this example
Let the marks obtained by 5 students of class V in a class test, out of 10 according to their names, be:
7,8,4,9,6
The data in the given form is known as raw data. The above given data can be placed in the bar chart as shown below:Name Marks Akshay 7 Maya 8 Dhanvi 4 Jaslen 9 Muskan 6
直方图
直方图是数据的图形表示。它类似于条形图的外观,但直方图和条形图之间有很多区别,因为条形图有助于衡量分类数据的频率。分类数据意味着它基于两个或多个类别,如性别、月份等。而直方图用于定量数据。
For example:
线形图
使用线和点来表示时间变化的图形称为折线图。折线图可以基于地球上剩下的动物数量,世界人口日益增加,或者比特币数量每天增加或减少等。折线图告诉我们整个世界发生的变化随着时间的推移世界。在折线图中,我们可以讲述世界各地发生的两种或多种类型的变化。
For Example:
饼形图
饼图是一种图形,涉及数字比例的结构图形表示。在大多数情况下,它可以用条形图、箱线图、点图等其他图代替。根据研究,它表明很难比较给定饼图的不同部分,或者如果它是比较不同饼图的数据。
For example:
频率分布表
频率分布表是一个图表,可以帮助我们总结图表的价值和频率。此频率分布表有两列,第一列包含数据中各种结果的列表,而第二列列出数据中每个结果的频率。通过将此类数据放入表格中,有助于我们更轻松地理解和分析数据。
For Example: To create a frequency distribution table, we would first need to list all the outcomes in the data. In this example, the results are 0 runs, 1 run, 2 runs, and 3 runs. We would list these numerals in numerical ranking in the foremost queue. Subsequently, we ought to calculate how many times per result happened. They scored 0 runs in the 1st, 4th, 7th, and 8th innings, 1 run in the 2nd, 5th, and the 9th innings, 2 runs in the 6th inning, and 3 runs in the 3rd inning. We set the frequency of each result in the double queue. You can notice that the table is a vastly more useful method to show this data.
Baseball Team Runs Per InningNumber of Runs Frequency 0 4 1 3 2 1 3 1
示例问题
问题1:考虑到10班10名学生的学费提交如下:Roll No. Marks 1 39 2 44 3 49 4 40 5 22 6 10 7 45 8 38 9 14 10 50
解决方案:
In order to draw the bar graph for the data above, we prepare the frequency table as given below.Fee submission No. of Students Paid 6 Not paid 4
Now we have to represent the data by using the bar graph. It can be drawn by following the steps given below:
Step 1: firstly we have to draw the two axis of the graph X-axis and the Y-axis.
The varieties of the data must be put on the X-axis (the horizontal line) and the frequencies of the data must be put on the Y-axis (the vertical line) of the graph.
Step 2: After drawing both the axis now we have to give the numeric scale to the Y-axis (the vertical line) of the graph
It should be started from zero and ends up with the highest value of the data.
Step 3: After the decision of the range at the Y-axis now we have to give it a suitable difference of the numeric scale.
Like it can be 0,1,2,3…….or 0,10,20,30 either we can give it a numeric scale like 0,20,40,60…
Step 4: Now on the X-axis we have to label it appropriately.
Step 5: Now we have to draw the bars according to the data but we have to keep in mind that all the bars should be of the same length and there should be the same distance between each graph
问题 2:观看随后的饼图,该饼图表示 Megha 在游乐场所花的钱。建议的颜色表示为每个品种支付的数量。数据总值为15,每个品种的支付金额诊断如下:
巧克力 – 3
晶圆 – 3
玩具 – 2
游乐设施 – 7
To convert this into pie chart percentage, we apply the formula:
(Frequency/Total Frequency) × 100
Let us convert the above data into a percentage:
Amount paid on rides: (7/15) × 100 = 47%
Amount paid on toys: (2/15) × 100 = 13%
Amount paid on wafers: (3/15) × 100 = 20%
Amount paid on chocolates: (3/15) × 100 = 20 %
问题 3:下面给出的折线图显示了 Devdas 的身高如何随着他的成长而变化。
下面给出了一个折线图,显示了 Devdas 的身高随着他的成长而变化。观察图表并回答下列问题。
(i) What was the height of Devdas’s at 8 years?
Answer: 65 inches
(ii) What was the height of Devdas’s at 6 years?
Answer: 50 inches
(iii) What was the height of Devdas’s at 2 years?
Answer: 35 inches
(iv) How much has Devdas’s grown from 2 to 8 years?
Answer: 30 inches
(v) When was Devdas’s 35 inches tall?
Answer: 2 years.