- Math Article
Graphical Representation
Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ideas, information and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain. There are different types of graphical representation. Some of them are as follows:
- Line Graphs – Line graph or the linear graph is used to display the continuous data and it is useful for predicting future events over time.
- Bar Graphs – Bar Graph is used to display the category of data and it compares the data using solid bars to represent the quantities.
- Histograms – The graph that uses bars to represent the frequency of numerical data that are organised into intervals. Since all the intervals are equal and continuous, all the bars have the same width.
- Line Plot – It shows the frequency of data on a given number line. ‘ x ‘ is placed above a number line each time when that data occurs again.
- Frequency Table – The table shows the number of pieces of data that falls within the given interval.
- Circle Graph – Also known as the pie chart that shows the relationships of the parts of the whole. The circle is considered with 100% and the categories occupied is represented with that specific percentage like 15%, 56%, etc.
- Stem and Leaf Plot – In the stem and leaf plot, the data are organised from least value to the greatest value. The digits of the least place values from the leaves and the next place value digit forms the stems.
- Box and Whisker Plot – The plot diagram summarises the data by dividing into four parts. Box and whisker show the range (spread) and the middle ( median) of the data.
General Rules for Graphical Representation of Data
There are certain rules to effectively present the information in the graphical representation. They are:
- Suitable Title: Make sure that the appropriate title is given to the graph which indicates the subject of the presentation.
- Measurement Unit: Mention the measurement unit in the graph.
- Proper Scale: To represent the data in an accurate manner, choose a proper scale.
- Index: Index the appropriate colours, shades, lines, design in the graphs for better understanding.
- Data Sources: Include the source of information wherever it is necessary at the bottom of the graph.
- Keep it Simple: Construct a graph in an easy way that everyone can understand.
- Neat: Choose the correct size, fonts, colours etc in such a way that the graph should be a visual aid for the presentation of information.
Graphical Representation in Maths
In Mathematics, a graph is defined as a chart with statistical data, which are represented in the form of curves or lines drawn across the coordinate point plotted on its surface. It helps to study the relationship between two variables where it helps to measure the change in the variable amount with respect to another variable within a given interval of time. It helps to study the series distribution and frequency distribution for a given problem. There are two types of graphs to visually depict the information. They are:
- Time Series Graphs – Example: Line Graph
- Frequency Distribution Graphs – Example: Frequency Polygon Graph
Principles of Graphical Representation
Algebraic principles are applied to all types of graphical representation of data. In graphs, it is represented using two lines called coordinate axes. The horizontal axis is denoted as the x-axis and the vertical axis is denoted as the y-axis. The point at which two lines intersect is called an origin ‘O’. Consider x-axis, the distance from the origin to the right side will take a positive value and the distance from the origin to the left side will take a negative value. Similarly, for the y-axis, the points above the origin will take a positive value, and the points below the origin will a negative value.
Generally, the frequency distribution is represented in four methods, namely
- Smoothed frequency graph
- Pie diagram
- Cumulative or ogive frequency graph
- Frequency Polygon
Merits of Using Graphs
Some of the merits of using graphs are as follows:
- The graph is easily understood by everyone without any prior knowledge.
- It saves time
- It allows us to relate and compare the data for different time periods
- It is used in statistics to determine the mean, median and mode for different data, as well as in the interpolation and the extrapolation of data.
Example for Frequency polygonGraph
Here are the steps to follow to find the frequency distribution of a frequency polygon and it is represented in a graphical way.
- Obtain the frequency distribution and find the midpoints of each class interval.
- Represent the midpoints along x-axis and frequencies along the y-axis.
- Plot the points corresponding to the frequency at each midpoint.
- Join these points, using lines in order.
- To complete the polygon, join the point at each end immediately to the lower or higher class marks on the x-axis.
Draw the frequency polygon for the following data
10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | |
4 | 6 | 8 | 10 | 12 | 14 | 7 | 5 |
Mark the class interval along x-axis and frequencies along the y-axis.
Let assume that class interval 0-10 with frequency zero and 90-100 with frequency zero.
Now calculate the midpoint of the class interval.
0-10 | 5 | 0 |
10-20 | 15 | 4 |
20-30 | 25 | 6 |
30-40 | 35 | 8 |
40-50 | 45 | 10 |
50-60 | 55 | 12 |
60-70 | 65 | 14 |
70-80 | 75 | 7 |
80-90 | 85 | 5 |
90-100 | 95 | 0 |
Using the midpoint and the frequency value from the above table, plot the points A (5, 0), B (15, 4), C (25, 6), D (35, 8), E (45, 10), F (55, 12), G (65, 14), H (75, 7), I (85, 5) and J (95, 0).
To obtain the frequency polygon ABCDEFGHIJ, draw the line segments AB, BC, CD, DE, EF, FG, GH, HI, IJ, and connect all the points.
Frequently Asked Questions
What are the different types of graphical representation.
Some of the various types of graphical representation include:
- Line Graphs
- Frequency Table
- Circle Graph, etc.
Read More: Types of Graphs
What are the Advantages of Graphical Method?
Some of the advantages of graphical representation are:
- It makes data more easily understandable.
- It saves time.
- It makes the comparison of data more efficient.
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Very useful for understand the basic concepts in simple and easy way. Its very useful to all students whether they are school students or college sudents
Thanks very much for the information
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Translation of representation – English–Tamil dictionary
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representation noun ( ACTING FOR )
- Defendants have a right to legal representation and must be informed of that right when they are arrested .
- The farmers demanded greater representation in parliament.
- The main opposing parties have nearly equal representation in the legislature.
- The scheme is intended to increase representation of minority groups .
- The members are chosen by a system of proportional representation.
representation noun ( DESCRIPTION )
(Translation of representation from the Cambridge English–Tamil Dictionary © Cambridge University Press)
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to decide or arrange to delay an event or activity until a later time or date
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Current Issue Vol 6, No 4 (2024): Volume 6, Issue 4, Year 2024
Published October 30, 2024
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The position of women in short stories by thoppil mohammed meeran, feminist perspective in the theettu novel, feminism in the poems of balasubramanian, s. tamilselvi's novel geethari shows feminist thoughts, virtuous women in the bible.
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representation
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பலுக்கல் (ஐ.அ) | |
( ) |
representation , ( பெ ) .
- ஒன்றுக்கோ பலவற்றுக்கோ ஈடாகவோ அல்லது சார்ந்தோ மற்றொன்று நிற்றல். ஒருவருக்கோ பலருக்கோ அவர் சார்பாகப் பேசவும் கருத்து சொல்லவும் ஒருவரை நிறுத்துவது.
- பிரதிநிதித்துவம்
- பெயர்த்தீடு , மாற்றீடு , சார்பீடு , சார்பாண்மை , சார்புநிற்றல் , சார்புகோள்
- தமிழர்கள் உள்ளிட்ட சிறுபான்மை மக்களுக்கு கௌரவமான பிரதிநிதித்துவம் அளித்துவந்த விகிதாசார பிரதிநிதித்துவ முறையைக் கைவிடுவதற்கு இப்போதுள்ள அரசியல் சட்டத்தைத் திருத்துவது என்பதுதான் அது ( தினமணி, 13 மே 2010 )
- நினைவக உருவமைவு (memory representation) தரவு இனங்களுக்கு ஏற்ப மாறுகின்றது.
- ஆங்கிலம்-கணிதம்
- ஆங்கிலம்-பொதுக்கணினியியல்
- ஆங்கிலம்-சட்டத்துறை
- ஆங்கிலம்-நிருவாகவியல்
- ஆங்கிலம்-பொறியியல்
- ஆங்கிலம்-வேதியியல்
- ஆங்கிலம்-த.இ.ப.அகரமுதலியின் சொற்கள்
- வரையறுக்கப்பட்ட உள்ளடக்க அகலத்தை மாற்று
How to Say Graphical representation in Tamil
- graphic design
- graphic designer
- graphical representation
- get a chance
- practically
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graphical representation translation and definition in Tamil, related phrase, antonyms, synonyms, examples for graphical representation
What is graphical representation in Tamil? Pronunciation, translation, synonyms, examples, rhymes, definitions of graphical representation in Tamil Shabdkosh ®
சான்றுகோள்---தமிழ் இணையக் கல்விக்கழகக் கலைச்சொல் பேரகரமுதலி ...
Graphical Representation is a way of analysing numerical data. It exhibits the relation between data, ideas, information and concepts in a diagram. It is easy to understand and it is one of the most important learning strategies. It always depends on the type of information in a particular domain.
This video is about Introduction To Graphs in Tamil. In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A...
a person or organization that speaks, acts, or is present officially for someone else. வேறொருவருக்காக அதிகாரப்பூர்வமாக பேசும், செயல்படும் அல்லது தற்போது இருக்கும் ஒரு நபர் அல்லது அமைப்பு. Can he afford legal representation? அவரால் சட்டரீதியான பிரதிநிதித்துவத்தை வழங்க முடியுமா? Fewer examples.
At this moment, there is a need for quality international research in Tamil to promote Tamil research. Considering this, the International Research Journal of Tamil (E-ISSN: 2582-1113) has been launched. Researchers are kindly asked to make their contribution in this regard.
(கோப்பு) பொருள். representation, (பெ). ஒன்றுக்கோ பலவற்றுக்கோ ஈடாகவோ அல்லது சார்ந்தோ மற்றொன்று நிற்றல். ஒருவருக்கோ பலருக்கோ அவர் சார்பாகப் பேசவும் கருத்து சொல்லவும் ஒருவரை நிறுத்துவது. பிரதிநிதித்துவம். நிகராட்சி. பெயர்த்தீடு, மாற்றீடு, சார்பீடு, சார்பாண்மை, சார்புநிற்றல், சார்புகோள். உருவகிப்பு. குறியீடு. உருவமைவு. விளக்கம். பயன்பாடு.
Tamil Definition; representation, graphical: காட்டுப்படவகைக்குறிப்பு
What's Tamil for graphical representation? If you want to know how to say graphical representation in Tamil, you will find the translation here. You can also listen to audio pronunciation to learn how to pronounce graphical representation in Tamil and how to read it.