Tree Diagram: What is it and how is it done?

If you know this working method, it is a very valuable tool since its function is important when wanting to know certain aspects related to statistics, probabilities and mathematics within companies. However, if you do not know what a tree diagram is then we invite you to continue reading because we will talk all about it.

From its basic concepts and definitions to other more specific elements such as making tree diagrams, their function and in what type of situations they are used, in addition to recommending places to make them.

What is tree diagram?

The tree diagram is a type of tool for many entrepreneurs, sales managers, accountants and administrators in how to reflect through a probability and financial exercise the reality or situation that is presented.

As we expressed previously, it is a type of tool with an easy-to-follow system, which consists of a central axis which is called the trunk. From there on, elements are added to the trunk, whether they are characteristics or other elements. He calls it branches of the tree.

Related to the branches of the tree, other types of information are also added from there, more sub-elements that make the tree diagram take on greater structure and meaning about the objective of why it is carried out. Making a specific or general topic with its most outstanding elements.

Following the question of what a tree diagram is, we can also define this style of tool due to its name, a tree diagram is because there is a central axis (trunk), followed by branches and of course leaves. Managing to meticulously examine the details.

What is sought when making this type of diagram is to delve into all the details and actions, seeing all the elements that exist. Used to have a global visual calculation of the elements to later have that content, although from the business point of view the change in strategies is sought by analyzing the probabilities of success and risks.

How do you make a tree diagram?

The tree diagram has a structure of how it is made, that is, it has meticulous steps so that it is correct and fulfills the function sought, which would basically be to have all the elements of a topic separated, understanding, naming and selecting their features, elements and much more.

  1. A committed work team

The best support a company can have is to have a work team that is committed to supporting the company and its ideals, being focused on the objective to be met, for this reason a group organized through a leader will end up having results. splendid

Knowledge about the situation, together with the analysis of each of the members, will ensure that the tree diagram is carried out efficiently and quickly.

  1. Choose the theme

The beginning of a tree diagram has as its center the topic assigned to it, from there it will start to continue with the other branches that make up the topic. Defining it as a situation, project, problem or objective that little by little we will separate part by part. The main name is usually located on the left center.

  1. First level branches

Among the questions of how to make a tree diagram , the step related to the first-level branches cannot be missed. The first-level branches are those elements that are broken down from the trunk (central theme), which is why it is related to the central theme.

These types of branches are used to follow the tree diagram, they are the first layers of the center, generally related to the elements and characteristics of the main theme.

  1. First check

After having chosen the trunk, its first branches and having the structure of the tree diagram in place, it is a good time to check if something essential is missing in the work. In case you do not know how to review said work, it is best to ask ourselves if we can understand the plot thread through the current diagram.

Since a diagram of this type must be understood when looking at it and reading it. The elements that make up the theme must also be present.

  1. We start from the selected branches

The first level branches will be present again, continuing with them and their sub-elements that are essential and important for the central theme, generating more structure and lengthening the diagram. Later we do a second review.

  1. Final revision

This last step is a final review, so we are left to observe the diagram and notice if there are unmentioned elements or small errors to amend them. For this type of review it is better to visualize each branch and its follow-up, so that everything matches.

How to solve problems with tree diagrams?

Tree diagrams are made to solve problems of different types, be it to find a solution to a failure, take center stage in financial situations, probability and statistics, always related to mathematics, for this reason it is common to see this type of diagram in subjects and careers such as commerce, accounting, administration and finance.

From the visual aspect and in parts, it is necessary to follow a series of steps when structuring a tree diagram.

  1. Central node

The central node, also known as the trunk, is the beginning and main topic that the tree diagram will deal with, generally located on the left side in a centered manner, being the title of the diagram.

  1. First branches

The first branches are those that come from the central node, their function is to start from the doubts or failures that the diagram has, visually drawn with lines from left to right to continue with the structure of the diagram.

  1. More nodes

In case you need to drill down further and continue with the structure of the branches, then you can locate more nodes that are connected to the first branches.

  1. Final branches

Named in this way or also as culminating branches, they are those branches that continue to connect with the main theme through their progress both with other nodes and also with the first branches. They are used to finish the idea.

  1. Value to the branches

The value of the branches must exist and must be assigned to each branch to subsequently calculate the probabilities of the problem, unknown or possible solution. All branches in sum must give a value of 100%.

  1. Final calculations

From here the operations are carried out, the branches that have a connection with each other must be multiplied, however, the branches that are separated from each other that go from top to bottom must be added. In order to obtain the final result of the work in the tree diagram .

Where can I make a tree diagram?

There are multiple and varied editing platforms for video, content, texts and images to work with the tree diagram, because they have this type of functions. The tree diagram can be created on different platforms, web pages and even applications, some of them are:

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How to make a tree diagram examples?

Next, we will explain how to make a tree diagram through exercises and everyday examples:

1.  coin toss

This exercise consists of constructing and making a tree diagram focused on the probabilities of three different coins during their toss, that is, finding the probability that it could occur with each of the coins, be it heads or tails.

Having ready the possibilities of which side the coin falls on, we will then start with our tree in a diagram or outline. The probability of heads or tails coming up is equal in all tosses, which leads us to make a tree diagram with two branches coming from the trunk.

Those two branches that we mentioned above have to identify both heads and the second tails.

Starting with the probability, and then going with each branch, in this case heads and tails, from then on the probability that said part will fall will be placed again, repeating the process three times due to the three tosses.

To then be clear about the desired result, that is, the final probability of coin tosses through the tree diagram, the probabilities of all the elaborated branches must be multiplied, resulting in the probabilities of obtaining tails or heads.

2.  Kindergarten A, B and C

The following exercise and example is presented as a town in which there are only three daycare centers. In these daycare centers, which we will identify as A, B and C, we have the data on how many children attend classes there.

In daycare A 60% of the children attend, on the other hand, in daycare B only 30% are present, and finally there is daycare C with 10%. An additional fact is that the girls who attend daycare represent 55%. Make a tree diagram where you look for the following:

  • The odds that when choosing a child at random from any daycare center, he or she will be a boy.
  • The odds that choosing a boy at random in daycare B will be a girl.

Taking into account that there are 55% girls in each daycare center, the percentage of boys is calculated by subtracting this amount from 1, with 0.55 being the probability of boys.

Once you have all the probabilities, you begin to make the tree diagram . Starting with the data, followed by a branch indicating the three nurseries, both A, B and C, then more branches are added to said nurseries where the probabilities are added.

The calculation to know the probability that when selecting someone from daycare B it will be a girl is: multiply both data, both 0.30 together with 0.55, resulting in: 0.165.

Having already resolved one of the two questions, we continue with finding the probability of randomly choosing a child from any of the three daycare centers, we must multiply each one, and then add to obtain the result.

For nursery A, it would be the multiplication of 0.6 with 0.45, giving a result of: 0.27. In nursery B we must multiply 0.30 by 0.45, giving an exact result of: 0.135. Finally, there is daycare C, multiplying 0.10 by 0.45, that result is: 0.045.

To obtain the final probability, the three results that were the product of the multiplication are added, thus adding: 0.27 + 0.135 + 0.045, resulting in: 0.45.

Where to make tree diagrams?

After understanding how to make a tree diagram , you may have doubts about what type of pages or applications these types of diagrams can be made on. Canva is one of those perfect platforms to make the diagrams you want to make, just like from your computer with Powerpoint.

If you are looking for something more structured and qualified for it then lucidchart is your solution to find that place to make tree diagrams.

What is the purpose of the tree diagram?

The real objective of a tree diagram is that this type of tool and exercise is the solution to see the components, characteristics and elements of a specific topic, making us see all the concepts that are within it, that complement it and make it to worth.

The purpose of making a tree diagram is to identify all the essential elements that are related to the trunk (central theme), having the breakdown of each valuable part from a visual concept. By understanding how to make a tree diagram we will notice the graphic representation of each element.

Both in the creative process, ideas, phenomena to highlight and varied solutions, all with the purpose of making the branches that belong to the central title understood.

Tree diagram and other strategies

There are many types of diagrams and of course each one has its own function, name and characteristics. Below, we will mention a list of the types of diagrams.

  • Concept diagram
  • floral diagram
  • Flowchart
  • Tree diagram
  • sun diagram
  • Phase diagram
  • Synopsis diagrams
  • graph diagram