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Graphical Representation 

 

Graphical representation is a method of analyzing numerical data. It depicts in a diagram the relationship between facts, ideas, information, and concepts. It is simple to grasp and is one of the most significant learning techniques. However, it always depends on the type of information provided.

The graph is just a well-organized representation of data. It aids us in comprehending the facts. We refer to the numerical information gathered through observation as data.

The term data comes from the Latin term Datum, which means' anything provided’.

We continually collect data through observation when we create a study question. We then organise, summarize, categorise, and display it graphically.

There are several kinds of graphical representation. Here are a few examples:

image 1

Line Graphs - A line graph or a linear graph is a type of graph used to represent continuous data and is useful for forecasting future occurrences.

Bar Graphs - A bar graph is a type of graph that compares data by using solid bars to depict the quantities.

image2

Histograms - A graph in which bars show the frequency of numerical data organised into intervals is called a histogram. All the bars have the same width since all the intervals are equal and continuous.

Line Plot — This type of plot displays the frequency of data on a particular number line. When we repeat such data, we put x above the number line.

image3

Frequency Table - The frequency table displays the number of data points that fall inside the defined interval.

Circle Graph - A pie chart displays the relationships between the elements of a whole. We assume the circle to be 100%, and percentages represent the categories inhabited such as 15%, 56%, etc.

image4

Stem and Leaf Plot – We organise the data in the stem-and-leaf plot from least to the highest value. The digits in the unit's place form the leaves, and the digit next to the leaves form the stems.

Box and Whisker Plot - The plot diagram summarises the data by breaking it down into four sections. The box-and-whisker plots depict the data's range (spread) and centre (median).

Graphical Representation Principles

image5

We use algebraic concepts in all kinds of graphical data representation. Two lines on the graph are known as coordinate axes. Of the two lines, we refer to the horizontal axis as the x-axis, while we refer to the vertical axis as the y-axis.

An origin O is the point at which two lines intersect. On the x-axis, the distance from the origin to the right side will be positive, while the distance from the origin to the left side will be negative. Similarly, for the y-axis, points above the origin will be positive, while one's below the origin will be negative.

Advantages of Using Graphs

The following are some advantages of using graphs:

  • Everyone, regardless of prior knowledge, can readily understand the graph. The graphs are not only used to express mathematical observations. They are also used in various formats that include business as well as sports.
  • It enables us to link and compare facts from various periods.
  • We use it in statistics to calculate the mean, median, and mode for various data sets and data interpolation and extrapolation.
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