The Definition and the Uses of Venn Diagram

Venn Diagram Probability Shading – You’ve probably had the pleasure of reading about or seen the Venn diagram before. Anyone who has studied Mathematics specifically Algebra and Probability, must be already familiar with this figure. The diagram is visual tool that illustrates the relation between a set of items. Find out more about this frequently utilized diagram across various fields and fields below.

What Is a Venn Diagram?

An Venn diagram is a diagram of circles that overlap to show the relationships between items as well as groups. When circles overlap, they share certain traits but those that do not overlap mean that they don’t share a commonality. Each circle is typically with a description of the category it belongs to.

It can be used to show differentiators and similarities in a visual manner between various things, groups or concepts. It is commonly found in the field of education as a tool that can be useful. It’s also been used all over the world in the early part decades of the twentieth century at elementary educational levels, and also as a vital element of the logic curriculum.

The diagram was popularised by John Venn, an English logician in the 1880s. Similar diagrams were invented in the 1700s from Leonard Euler, a Swiss mathematician. He referred to them as Eulerian circles. That being said, the term was not used until Clarence Lewis, an academic philosopher and conceptual pragmatism pioneer used it in 1918. At that time, it was used to describe an illustration that was circular in his book named “A Survey of Symbolic Logic.”

What Is the Purpose and Benefits of the Venn Diagram?

It is a popular Venn diagram is employed a lot throughout the educational world. Teachers at the school use this tool to teach mathematical concepts, such as sets, intersections, and unions. In more advanced maths, it is also employed to tackle complicated problems. There are also diagrams related to statistics, especially predictive analytics.

Beyond mathematics-related fields, it can also be used to examine the similarities and distinctions between various languages. In the world of business it is used to compare products or services as well as anything else that is relevant.

Here is the explanation of how the diagram can do:

• Visually organize data to look for connections (similarities or differences) between different sets of items.
• In spite of their complexity, display the logic of particular concepts and provide visual aids to show the relationship between them.
• When deciding which goods or services you want to purchase consider comparing different options to easily discern the similarities and differences among them.
• Solve a range of mathematical problems.
• Analyze data sets, identify correlations, and evaluate the likelihood of specific events.
• Reason logic that supports equations or statements and the process of grouping.

One of the primary reasons why the Venn diagram is so effective and well-known is because of its simplicity. It lets you compare things, identify where they overlap and separate and serves as an image representation of the relationship. Along with pie charts bar graphs, quadrant charts flow charts, and other tools to visualize data are a good method to display your data, or aid in the process of thinking.

Venn Diagram Symbols Meaning

• ∪ >> Union of Two Sets. The union of two sets is represented by a full Venn diagram.
• ∩ >> Intersection of Two Sets. The intersection of two categories reveals which things are shared between them.
• Ac >> Complement of a Set. Whatever is not represented in a set is referred to as the complement.