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Venn Diagram Youtube Venn diagram youtube The best way to explain how the Venn diagram works and what its formulas show is to give 2 or 3 circles Venn diagram examples and problems with solutions. Problem-solving using Venn diagram is a widely used approach in many areas such as statistics, data science, business, set theory, math, logic and etc. A Venn Diagram is an illustration that shows logical relationships between two or more sets grouping items. Venn diagram uses circles both overlapping and nonoverlapping or other shapes. Despite Venn diagram with 2 or 3 circles are the most common type, there are also many diagrams with a larger number of circles 5,6,7,8,10…. Theoretically, they can have unlimited circles. Venn Diagram General Formula. This is a very simple Venn diagram example that shows the relationship between two overlapping sets X, Y. X — the number of items that belong to set A Y — the number of items that belong to set B Z — the number of items that belong to set A and B both. Following the same logic, we can write the formula for 3 circles Venn diagram :. Venn Diagram Examples Problems with Solutions. As we already know how the Venn diagram works, we are going to give some practical examples problems with solutions from the real life. Suppose that in a town, people are selected by random types of sampling methods. Note: The number of people who go by neither car nor bicycle is illustrated outside of the circles. It is a common practice the number of items that belong to none of the studied sets, to be illustrated outside of the diagram circles. For the purposes of a marketing research , a survey of women is conducted in a town. Now, we are going to apply the Venn diagram formula for 3 circles. As we mentioned above 2 and 3 circle diagrams are much more common for problem-solving in many areas such as business, statistics, data science and etc. However, 4 circle Venn diagram also has its place. It is very clear who plays which sports. As you see the diagram also include the student who does not play any sports Dorothy by putting her name outside of the 4 circles. From the above Venn diagram examples, it is obvious that this graphical tool can help you a lot in representing a variety of data sets. Venn diagram also is among the most popular types of graphs for identifying similarities and differences. Compare and Contrast Venn Diagram Example:. The following compare and contrast example of Venn diagram compares the features of birds and bats:. Tools for creating Venn diagrams. It is quite easy to create Venn diagrams, especially when you have the right tool. Nowadays, one of the most popular way to create them is with the help of paid or free graphing software tools such as:. Some free mind mapping tools are also a good solution. Finally, you can simply use a sheet of paper or a whiteboard. The above 2, 3 and 4 circle Venn diagram examples aim to make you understand better the whole idea behind this diagrams. As you see, the Venn diagram formula can help you to find solutions for a variety of problems and questions from the real life. A Venn diagram is a simple but powerful way to represent the relationships between datasets. It makes understanding math, different types of data analysis , set theory and business information easier and more fun for you. Besides of using Venn diagram examples for problem-solving and comparing, you can use them to present passion, talent, feelings, funny moments and etc. Be it data science or real-world situations, Venn diagrams are a great weapon in your hand to deal with almost any kind of information. If you need more chart examples, our posts fishbone diagram examples and what does scatter plot show might be of help. Silvia Valcheva is a digital marketer with over a decade of experience creating content for the tech industry. She has a strong passion for writing about emerging software and technologies such as big data, AI Artificial Intelligence , IoT Internet of Things , process automation, etc. Currently you have JavaScript disabled. In order to post comments, please make sure JavaScript and Cookies are enabled, and reload the page. Click here for instructions on how to enable JavaScript in your browser. This site uses Akismet to reduce spam. Learn how your comment data is processed. On this page: What is Venn diagram? Definition and meaning. Venn diagram formula with an explanation. Examples of 2 and 3 sets Venn diagrams: practice problems with solutions, questions, and answers. Simple 4 circles Venn diagram with word problems. Compare and contrast Venn diagram example. Commonly, Venn diagrams show how given items are similar and different. Here are some important questions we will find the answers: How many people go to work by car only? How many people go to work by bicycle only? How many people go by neither car nor bicycle? How many people use at least one of both transportation types? How many people use only one of car or bicycle? We will deep further with a more complicated triple Venn diagram example. Here are our questions we should find the answer: How many women like watching all the three movie genres? Find the number of women who like watching only one of the three genres. Find the number of women who like watching at least two of the given genres. From the Venn diagram example, we can answer our questions with ease. The options are: Football, Hockey, Basketball, and Netball. Compare and Contrast Venn Diagram Example: The following compare and contrast example of Venn diagram compares the features of birds and bats: Tools for creating Venn diagrams It is quite easy to create Venn diagrams, especially when you have the right tool. Nowadays, one of the most popular way to create them is with the help of paid or free graphing software tools such as: Lucidchard Canva Gliffy You can use Microsoft products such as: Word Excel PowerPoint Some free mind mapping tools are also a good solution. Conclusion: The above 2, 3 and 4 circle Venn diagram examples aim to make you understand better the whole idea behind this diagrams. About The Author Silvia Valcheva Silvia Valcheva is a digital marketer with over a decade of experience creating content for the tech industry. One Response Wellington Sangangala. Well explained I hope more on this one. The term Venn diagram is not foreign since we all have had Mathematics, especially Probability and Algebra. Now, for a layman, the Venn diagram is a pictorial exhibition of all possible real relations between a collection of varying sets of items. It is made up of several overlapping circles or oval shapes, with each representing a single set or item. Venn diagrams depict complex and theoretical relationships and ideas for a better and easier understanding. These diagrams are also professionally utilized to display complex mathematical concepts by professors, classification in science, and develop sales strategies in the business industry. Image Source : pinterest. John Venn carried out a thorough research on these diagrams and foresaw their formalization. He is the one who originally generalized them, no wonder their naming, i. There is a small gap between Venn diagrams and Euler diagrams invented in the 18th century by Leonhard Euler, who also had a hand in its development in the s. John used to refer to the charts as Eulerian circles. The development of Venn diagrams continued in the 20thcentury. For instance, around , D. W Henderson revealed the existence of an n-Venn graph consisting of n-fold rational symmetry, which pointed out that n was a prime number. This concept was delved into by four other intellects in the following years, who concluded that rotationally symmetric Venn diagrams only exist if n is a prime number. Venn diagrams are useful as a teaching and studying tools to scholars, teachers, and professors. They help represent simple mathematical concepts in grade schools as well as rocket-science kind of theories and problems among logicians and mathematicians. Furthermore, together with Set theory, Venn diagrams have facilitated a clearer up-to-date understanding of infinite numbers and real numbers in Mathematics. They also enhanced the creation of a common language and system of symbols concerning Set theory among researchers and mathematicians. They are ideal for illustrating similarities and differences among items or ideas when circles overlap or otherwise. This feature is commonly utilized in the business industry to find and create a niche in the market for goods and services. These facilitate incredible sales reports and huge realized profits among entrepreneurs. You can also use Venn diagrams to make crucial life decisions, like what college to enroll in, what school to take your kid, the best material for construction or making a garment, which restaurant to dine in, etc. You can use Venn diagrams to demonstrate relationships is statistics, logic, probability, linguistics, computer science, business set up, and many more areas. In Mathematics, Venn diagrams are a teaching tool that explains Math concepts like sets, unions, and intersections. They also solve severe problems in advanced mathematics. You can read extensively about them in academic journals in your library and be amazed at how Set theory is a complete mathematics branch. Statisticians employ the idea of Venn diagrams to foretell the chances of particular occurrences. It is also the case in the predictive analytics field. Sampled data sets are compared and scrutinized to point their similarities and differences.
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