Frequency Polygon
- Presentation of Data. The key objective of statistics is to collect and organize data. ...
- Frequency Polygon. A frequency polygon is a graphical form of representation of data. It is used to depict the shape of the data and to depict trends.
- Solved Example for You. Answer: We first need to calculate the cumulate frequency from the frequency given. ...
How do you plot a cumulative frequency polygon?
Using the data from the table above, let’s create the frequency polygon:
- The classes within the dataset are listed in the first column on the table above.
- The midpoints for each class can be calculated in the following way: Midpoint (1-3) = (1 + 3) / 2 = 2 Midpoint (3-5) = (3 + 5) / ...
- The frequencies for each class are listed in the second column on the table above.
What is the definition of a frequency polygon?
A frequency polygon is a type of line graph where the class frequency is plotted against the class midpoint and the points are joined by a line segment creating a curve. The curve can be drawn with and without a histogram. A frequency polygon graph helps in depicting the highs and lows of frequency distribution data.
What is frequency polygon in statistics?
Statistics Definitions. A frequency polygon is very similar to a histogram.In fact, they are almost identical except that frequency polygons can be used to compare sets of data or to display a cumulative frequency distribution.In addition, histograms tend to be rectangles while a frequency polygon resembles a line graph.
How to make a frequency distribution table?
Follow the steps carefully and draw a frequency table:
- Step 1: Firstly, draw a table with three columns. ...
- Step 2: In this step, we will use the tally marks approach and tally the numbers in each category. ...
- |” in the respective row and column. ...
- | 1
- 2
- | 3 || 4
- ||Step 3: At last, count the tally marks and write down the frequency in the third column. ...
What is meant by frequency polygon?
A frequency polygon is a line graph of class frequency plotted against class midpoint. It can be obtained by joining the midpoints of the tops of the rectangles in the histogram (cf.
Why is frequency polygon important?
The frequency polygons not only help to make sure that the data is sorted out and represented, but they are also going to make it easier for the people to compare and contrast all the results. 2. These are much easier to understand and they give a clear picture of the distribution of data.
What is a frequency polygon Wikipedia?
The frequency polygon is a polygon - a closed two-dimensional figure of straight line segments - joining the mid points of the top of the bars of a histogram. The first point is on the x-axis (y = 0) and is placed in the middle of the interval which precedes the first bar of the histogram.
What are the uses of polygon?
The Polygon platform, powered by the MATIC token, was launched to connect and grow Ethereum-compatible projects and blockchains. MATIC tokens are used to govern and secure the Polygon network and pay transaction fees. Polygon uses a modified proof-of-stake consensus mechanism to efficiently operate the platform.
Why is it called a frequency polygon?
The reason it's called a polygon is because the line sort of forms a plane shape with the horizontal axis as one side of the shape: Now a frequency polygon and a histogram both show the same information, but in a different way.
What is frequency polygon in statistics class 9?
Frequency Polygons. A frequency polygon is almost identical to a histogram, which is used to compare sets of data or to display a cumulative frequency distribution. It uses a line graph to represent quantitative data. Statistics deals with the collection of data and information for a particular purpose.
What is frequency polygon Mcq?
A frequency polygon is a graph that represents frequency distribution.
What is frequency polygon and frequency curve?
A frequency polygon is a closed figure that is formed by joining the top midpoints of all the rectangles of histograms using a straight line. Whereas frequency curve is a curve that is obtained by joining the top midpoints of all rectangles of a histogram using a free hand.
How to draw frequency polygons?
To draw frequency polygons, first we need to draw histogram and then follow the below steps: Step 1- Choose the class interval and mark the values on the horizontal axes. Step 2- Mark the mid value of each interval on the horizontal axes. Step 3- Mark the frequency of the class on the vertical axes.
Can frequency polygons be drawn independently?
Frequency polygons can also be drawn independently without drawing histograms. For this, the midpoints of the class intervals known as class marks are used to plot the points. 30,283. To know more about different data collection methods, and statistics download BYJU’S –The Learning App.
Why are frequency polygons important?
The frequency polygons not only help to make sure that the data is sorted out and represented, they are also going to make it easier for the people to compare and contrast all the results. 2. These are much easier to understand and they give a clear picture of the distribution of data.
What is frequency polygon?
Frequency polygons are one type of graphical representation of data. There are many ways in which the data can be graphically represented and frequency polygons are the best and the most efficient of all.
What are the terms associated with frequency polygons?
Terms Associated with Frequency Polygons: 1. Class Interval: It is necessary that the people should select a proper class interval . Class interval is nothing but a specific range in which the data is going to fall. This should make the data appear simple and easy.
Why is grouping data important?
This is going to be useful for the following reasons: 1. The data is going to be preserved and others who need it can use it at a later stage. 2.
Which is the best form of representation of data?
3. Graphical Representation: This is found to be one of the best forms of representation of data. This is used widely by many people all over the world. This is one the most efficient methods of representation as such.
Is the height from the horizontal line always the frequency?
The height from the horizontal line is always the frequency. It is also important to note that, when the class intervals are being plotted on the X- axis, the midpoint should be considered for the sake of plotting against the frequencies. It should not be plotted against the upper or lower limits.
How to find frequency polygon?
It can be obtained by joining the midpoints of the tops of the rectangles in the histogram ( cf. Fig. 3.3 .).
What are histograms and frequency polygons?
Histograms and frequency polygons are two graphical representations of frequency distributions:
What type of graph is used to represent frequency tables?
Another type of graph used to represent a frequency table is the frequency polygon, which plots the frequencies of the different data values and then connects the plotted points with straight lines. Figure 2.3 presents the frequency polygon of the data of Table 2.1.
How to represent frequency data?
Data from a frequency table can be graphically represented by a line graph that plots the distinct data values on the horizontal axis and indicates their frequencies by the heights of vertical lines. A line graph of the data presented in Table 2.1 is shown in Figure 2.1.
How to find relative frequency?
Consider a data set consisting of n values. If f is the frequency of a particular value, then the ratio f/n is called its relative frequency. That is, the relative frequency of a data value is the proportion of the data that have that value. The relative frequencies can be represented graphically by a relative frequency line or bar graph or by a relative frequency polygon. Indeed, these relative frequency graphs will look like the corresponding graphs of the absolute frequencies except that the labels on the vertical axis are now the old labels (that gave the frequencies) divided by the total number of data points.
How to tell relative frequency of pie chart?
The relative frequency of a data value is indicated by the area of its sector, this area being equal to the total area of the circle multiplied by the relative frequency of the data value.
What is frequency table?
A data set having a relatively small number of distinct values can be conveniently presented in a frequency table. For instance, Table 2.1 is a frequency table for a data set consisting of the starting yearly salaries (to the nearest thousand dollars) of 42 recently graduated students with B.S. degrees in electrical engineering. Table 2.1 tells us, among other things, that the lowest starting salary of $57,000 was received by four of the graduates, whereas the highest salary of $70,000 was received by a single student. The most common starting salary was $62,000, and was received by 10 of the students.
Intro to Frequency Polygons
Say you were given a special project to analyze the data from last week's track meet and you are really excited to share the findings with your class. However, when you start looking through the data, you are overwhelmed by the numbers and wonder how you can make it more visually appealing.
Definition of Frequency Polygons
A frequency polygon is a type of line graph that shows the frequency of a mutually exclusive event occurring. Seeing the data in this format helps us visualize and understand it better. All frequency polygons must have a title, x -axis, y -axis, and data points with a line connecting them.
Graphing Our Track Data
Let's look at the data for the specific track meet events to help us better understand.
What is frequency polygon?
Frequency Polygons can be defined as a form of a graph that interprets information or data that is widely used in statistics. This visual form of data representation helps in depicting the shape and trend of the data in an organized and systematic manner. Frequency polygons through the shape of the graph depict the number of occurrence of class intervals. This type of graph is usually drawn with a histogram but can be drawn without a histogram as well. While a histogram is a graph with rectangular bars without spaces, a frequency polygon graph is a line graph that represents cumulative frequency distribution data. Frequency polygons look like the image below:
How to construct a frequency polygon without a histogram?
To construct a frequency polygon without a histogram we first find the classmark by using the formula Classmark = (Upper Limit + Lower Limit) / 2. And we will find the cumulative frequency of each class interval as well by adding the next frequency and previous frequency together.
How to find classmark on frequency polygon?
To calculate the classmark for a frequency polygon graph, we use the formula, Classmark = (Upper Limit + Lower Limit) / 2.
What is a graph that depicts data through rectangular-shaped bars with no spaces between them?
A histogram is a graph that depicts data through rectangular-shaped bars with no spaces between them.
Does height always depict frequency?
Since the height always depicts the frequency, plot the frequency according to each class mark. It should be plotted against the classmark itself and not on the upper or lower limit.
Can a frequency polygon graph be plotted with or without a histogram?
Even though a frequency polygon graph is similar to a histogram and can be plotted with or without a histogram, the two graphs are yet different from each other. The two graphs have their own unique properties that show the difference visually. The differences are:
