# Chapter 15 – Introduction to Graphs

The following Topics and Sub-Topics are covered in this chapter and are available on MSVgo:

Introduction

Visual forms appeal more to the audience than the texts form information. It’s quite common that we remember any form of visual representation more than the texts. You might have come across this simple observation that you remember pictures better than written words. And that’s the objective of visual data. It’s for making things easy and understandable for the viewers.

#### Introduction to graphs

Introduction to graphs is an important chapter that familiarises us with different ways to represent any data in pictorial/ visual form. The most common examples are bar graphs and a pie chart that you observe in many places. There are other forms of graphical representations too, including line graphs, histograms, and more. All of these visual representations are meant to simplify the understanding of the data set to our brains. This article will talk more about the introduction of graphs, their varieties, and applications of graphs.

Let’s start with the most used form of graphs that we see around, the bar graph.

• Bar Graphs

Bar graphs are the simplest form of graphs that are used to compare two or more data sets. For example, you can compare the marks obtained by two students in any given subject. The two vertical bars are used in the bar graph that varies according to the variables.

• Pie Charts

Pie charts are to represent something as a part of the whole. It is suitable to represent the percentage of data. The full circle corresponds to 100%, broken down into pieces according to this formula.

A circle is 360 degrees. Hence each degree represents a specific set of percentages.

For representing x%, you need to cover (360/100)*x degree. The data that can be represented with a pie-chart is expenditures, savings, and income from different sources.

• Histograms

Histograms look like bar graphs and are used to group data sets and show a comparison analysis. It is used to group the data into intervals and use them as a visual representation. For example, if you are given the weight of 10 people ranging from 40 kg to 80 kg, you can group this data into intervals like 40-50, 50-60, 60-70, and 70-80. Histograms are simple to make and are similar to bar graphs.

• Linear Equation Graph

Linear graphs are used to show the relation between two elements. One is an independent element, and the other is a dependable variable. The linear function graphs have a formula, which is shown below.

y = mx + c

Where,

o   y- a dependant element

o   m- the slope of the graph

o   x- Independent variable

o   c- constant

• Linear graphs are used to show the relation between two data in the form of a line or a curve. The graph that you obtain using the above formula produces a straight-line graph with many coordinates in the 2D space.

#### Applications of graphs

Graphs have numerous applications in the science and mathematics world. They are used to represent the data in a human-friendly way. It helps us understand and compare the data with any given element. There are two major elements of any graph. They are independent and dependent variables. The independent variable’ is a variable whose value doesn’t change concerning any changes in the space. Dependent variables change with a change in any element in the graph space.

Graphs help us understand the relationship between two or more variables. Graphs like line graphs and linear graphs are made on the Cartesian plane with a reference point (0,0).

#### FAQs

1.     How do you introduce a graph?

Graphs are simple to make and effective at conveying information. To make a graph, you first need to have a proper data set and check what type of graph can be made for the given data.

1.     What is the meaning of the graph?

Graphs are a pictorial representation of data using any simple geometric figures. They represent and compare the different data set forms like marks, income, expenditure, and more.

1.     How do you read graphs?

Different graphs have to be read in different ways. For a pie chart, you need to consider the full circle as a whole, and the rest data is divided into it. For bar graphs, you can check the x and y-axis for information.

1.     What are the different types of graphs in statistics?

The different graphs in statistics are pie-chart, histograms, bar graphs, linear graphs, line graphs, and more. They are used to represent different types of data.

1.     How do you describe a graph?

Suppose a bar graph is given. Then it comes with the x-axis and y-axis variable names. It can be read easily corresponding to the variable name. For other graphs, you need to look at the variable name and type of graph.

1.     How do you write graphs?

Graphs can be made when you have sufficient data with you. You need to have knowledge of geometric shapes and simple mathematics to make a graph using a pencil, scale, and eraser.

The line graph and linear graphs are sometimes the same, and students get confused about them. At MSVgo, we provide you with easy video lessons to understand the basic difference between them and understand them easily.

Graphs are an important part of statistics as they make things easier to understand. Their main purpose is to show the relationship or comparison between different variables in a pictorial form and be easy to study. They have many applications in different industries and fields and are extensively used by people.

### High School Physics

• Alternating Current
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• Dual nature of Radiation and Matter
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• Electricity
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### High School Chemistry

• Acids, Bases and Salts
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### High School Biology

• Absorption and Movement of Water in Plants
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• How Do Organisms Reproduce?
• Human Diseases
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• Integumentary System- Skin
• Kingdom Fungi
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• Mineral Nutrition
• Molecular Basis of Inheritance
• Morphology of Flowering Plants
• Neural Control And Coordination
• Nutrition in Human Beings
• Organism and Population
• Photosynthesis
• Photosynthesis in Higher Plants
• Plant Growth and Development
• Plant Kingdom
• Pollination and Fertilization
• Pollution; Sources and its effects
• Principles of Inheritance and Variation
• Reproduction and Development in Angiosperms
• Reproduction in Organisms
• Reproductive Health
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• Respiratory System
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• Strategies for Enhancement in Food Production
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• The Endocrine System
• The Fundamental Unit Of Life
• The Living World
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• Transpiration
• Transport in Plants

### High School Math

• Algebra – Arithmatic Progressions
• Algebra – Complex Numbers and Quadratic Equations
• Algebra – Linear Inequalities
• Algebra – Pair of Linear Equations in Two Variables
• Algebra – Polynomials
• Algebra – Principle of Mathematical Induction
• Binomial Theorem
• Calculus – Applications of Derivatives
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• Calculus – Continuity and Differentiability
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• Geometry – Area
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• Geometry – Introduction to Euclid’s Geometry
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• Geometry – Lines and Angles
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• Linear Programming
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• Mensuration – Areas
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• Number Systems
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• Permutations and Combinations
• Probability
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• Sets and Functions
• Statistics
• Trignometry – Height and Distance
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• Trignometry – Introduction

### Middle School Science

• Acids, Bases And Salts
• Air and Its Constituents
• Basic Biology
• Body Movements
• Carbon and Its Compounds
• Cell – Structure And Functions
• Changes Around Us
• Chemical Effects Of Electric Current
• Coal And Petroleum
• Combustion And Flame
• Components Of Food
• Conservation Of Plants And Animals
• Crop Production And Management
• Electric Current And Its Effects
• Electricity And Circuits
• Elements and Compounds
• Fibre To Fabric
• Food production and management
• Force And Pressure
• Forests: Our Lifeline
• Friction
• Fun With Magnets
• Garbage In, Garbage Out
• Getting To Know Plants
• Health and Hygiene
• Heat
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• Life Processes: Nutrition in Animals and Plants
• Materials: Metals And Non-Metals
• Matter and Its States
• Metals and Non-metals
• Micro Organisms: Friend And Foe
• Motion And Measurement Of Distances
• Motion And Time
• Nutrition In Animals
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• Organization in Living Things
• Our Environment
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• Reaching The Age Of Adolescence
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• Rocks and Minerals
• Separation Of Substances
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• The Living Organisms And Their Surroundings
• Transfer of Heat
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• Transportation In Animals And Plants
• Universe
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• Water: A Precious Resource
• Weather, Climate And Adaptations Of Animals To Climate
• Winds, Storms And Cyclones

### Middle School Math

• Area and Its Boundary
• Boxes and Sketches
• Data Handling
• Fun With Numbers
• Heavy and Light
• How Many
• Long And Short
• Mapping
• Measurement
• Money
• Multiplication and Factors
• Multiply and Divide
• Numbers
• Parts and Wholes
• Pattern Recognition
• Patterns
• Play With Patterns
• Rupees And Paise
• Shapes And Angles
• Shapes And Designs
• Shapes and Space
• Similarity
• Smart Charts
• Squares
• Subtraction
• Tables And Shares
• Tenths and Hundredths
• Time