Graphical Representation: Overview, Questions, Preparation

Graphical representations help in identifying patterns in data. Graphics illustrate how data, concepts, information, and principles connect. It is easy to grasp and is one of the easiest ways to gain knowledge.

Different Forms of Graphical Representations 

Line graphs: These are used to demonstrate constant data patterns, and they help forecast the future of the data. 

Bar graphs: These are used to show data obtained in categories and compare the data using vertical bars to convey each object’s quantity. 

Histograms: These are graphs used to visually reflect the collection of data points present within a series of numbers. 

Frequency table – Displays how many times the data occurs within a specific set. 

General Guidelines for Graphical Representation

Data may be displayed readily by different types of graphical representation. There are: 

Suitable title: Be sure that the graph title indicates the critical emphasis of the graph.

Measurement units: Please write the dimensions of the graph. 

Proper scale: To understand the data, use a correctly fitting scale.

Index: Map the necessary shades, colours, shapes, and design; to better understand the graphs. 

Data sources: Source of knowledge should be presented and specified everywhere on the graph. 

Keep it simple: Take a visual approach that is easy to follow. 

Neat: Choose the right type of design, font, colours, etc. in such a way that the presentation can help the audience visualise the content.

The Theory of Graphical Representation

Algebraic concepts are used to ensure the accurate representation of various data. In graphs, axes are used to represent the position. The horizontal and vertical dimensions are called the x-axis and the y-axis, respectively. The field of intersection between two lines is called an origin. The x-axis represents a vertical line; the right side of the x-axis is positive, while the left side of the x-axis is negative. Similarly, points above the origin on the y-axis all take positive values, while points below the origin on the y-axis all take negative values.

This concept is taught in the chapter ‘Statistics.’ This chapter carries 5 marks.

1. Draw a histogram of the following data.

Solution.

Label the class interval along the X-axis, and the frequency across the Y-axis. 
Assume the class interval 0-10 with zero occurrences and class interval 90-100 with zero occurrences. 
Now, evaluate the middle of the class interval.

Using the midpoint and frequency values from the table, we plot the points A at (5, 0), B at (15, 4), C at (25, 6), D at (35, 8), E at (45, 10), F at (55, 12), G at (65, 14), H at (75, 7), I at (85, 5) and J at (75, 7). (95, 0). 

3. To draw the polygon, we need to draw the line segments AB, BC, CD, DE, EF, FG, GH, HI, IJ, and link all the lines.

Solution.

Q: What are the different graphical representations of data? 

Q: For what benefits is the graphical method useful? 

Q: What is graphical representation? 

Q: What is diagrammatic representation? 

Q: What are some of the major types of charts?