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**Plot|Definition & Meaning**

**Definition**

An **illustration** of the **relationships between two** or **more variables** is called a **plot.** It is a **technique** for **displaying data visually** and **demonstrating** the **connections between** the **variables.** Plots can be used to **display** many different **types of relationships,** including **linear** and **exponential** ones. They can be used to **examine patterns, correlations,** and **trends** in data and **forecast** future values.

**Overview**

Figure 1 – Illustrating number of apples sold by using the concept of Plot

For **comprehending** and **evaluating data** in various disciplines, such as **statistics, economics,** and **engineering, mathematical charts** are a crucial tool. They **enable us** to **see** how **variables relate** to **one another** and to learn more about how the systems we are investigating behave.

We can **better comprehend** the **data** we are working with and make more **informed decisions** based on that understanding **if** we **have** a **solid understanding** of how to produce and analyze **various sorts** of **plots.**

**Properties of Plot**

There are several properties of a mathematical plot that are important to consider when creating and interpreting the plot:

**Scale:**The**range**of**values depicted**on the**x-axis**and**y-axis**is**referred**to as the**plot’s scale.**It is crucial to pick a scale that would allow the key elements of the plot to be seen clearly.- A
**plot’s x-axis**and**y-axis**are the**lines**that**split**it into**four quadrants,**respectively. The**horizontal axis**is the**x-axis,**and the**vertical axis**is the**y-axis.**The axes show the values of the variables that are being plotted. **Data points:**The**values**of the**variables**being**plotted**for a specific example or observation are represented by a data point on a plot. The location of the data point on the plot corresponds to the variables’ values.**Legend:**A legend is a**label**or**key**that**describes**the**significance**of the data that is presented on a graph. It usually isn’t part of the plot but aids in understanding its significance.**Titles:**A title is a succinct**summary of**the**plot**that identifies the point or focus of the story. It often sits on top of the plot area.**Labels:**Labels are used to**describe**the**plot**and**identify**the**variables being plotted.**They are typically found along the plot’s axes.**Gridlines:**On a plot,**gridlines**are**lines**that are**drawn**to**indicate**the**values**of the**variables.**They assist to make the plot easier to read and understand because they are typically separated at regular intervals.

**Line Plot**

A graph called a **line plot shows data along** a **number line.** The link **between two continuous variables,** such as **time** and **temperature,** is **visualized** using this method. Each data point is shown as a point on the graph and connected by a line in a line plot.

Figure 2 – Illustration of Line Plot

**Time series data,** such as **stock prices** or **temperature** data, are frequently **visualized** using line charts. They can **demonstrate recurring patterns** throughout time, such as a rise or fall in a variable. By **showing** each type of **data** as a **separate line,** line **plots** can also be **used** to **compare different sets** of **data** on the same graph.

### How To Create Line Plot

The **first step** in creating a line plot **is** to **plot** the **data points** on the graph. The **x-axis represents** the **independent variable,** such as time, and the **y-axis represents** the **dependent variable,** such as temperature. The **trend** in the data is then **depicted** by **connecting** the **points with** a **line.**

**Line graphs** can be **made** unique by giving the **x** and **y-axis labels** and the graph a title. The line and data points appearance, including the line **style, marker style,** and **color,** can also be altered.

**Bar Plot**

A graph known as a **bar** plot **uses rectangular bars** to **represent data.** It’s used to show **how** a **categorical variable,** like gender or eye color, is distributed. The **height** of each **bar** in a bar plot **corresponds** to the **frequency** or **number** of **data points** for that category.

Figure 3 – Bar Plot Illustration

The **frequency** of **several categories** is **frequently compared using bar** graphs. A bar plot, for instance, could be used to **compare** the **proportion** of **male** and **female students** in a classroom or the number of persons in a population who have different eye colors.

### How To Create Bar Plot

The **frequency** or count of data points in each category is **plotted** on the **y-axis,** and the **categorical variable** is **plotted** on the **x-axis** to generate a bar plot. Although they can also be **drawn vertically,** the bars are often drawn horizontally.

**Scatter Plot**

A scatter plot is a **graph** in which **data** are **shown** as a **group** of **points.** The **relationship** between **two continuous variables,** such as height, and weight, is visualized using this method. Each **data point** in a scatter plot **has two values.** **one** that is represented by its **location** on the **x-axis** and **another** that is represented by its **location** on the **y-axis.**

Figure 4 – A simple Scatter Plot

**Data patterns** such as a **positive correlation** (when one variable grows, the other variable likewise increases) or a **negative correlation** are **found** using **scatter plots** (when one variable increases, the other variable decreases). **Scatter plots** can also be used to **see** how the **data** are **distributed** and to spot outliers.

### How To Create Scatter Plot

The **two variables** values are **plotted** on the **x and y-axes** to form a scatter plot. On the graph, **each** data **point** is **represented** by a **point.** By **encoding** the **values** of the **third variable** as the **color** or **size** of the data points, scatter plots may **also be produced using** a **third variable.**

**Other Types of Plots**

There are **numerous** other **specialized plots,** in addition to these fundamental forms, that are employed for particular kinds of data or analysis. The **distribution** of **continuous data** is shown using **histograms,** a sort of bar graphs.

In order to construct them, the data range is divided into a **number** of **bins,** and the **frequency** or **relative frequency** of the data in each bin is then shown as a bar. **Histograms** can be **used** to **determine** the **distribution’s shape** as well as to spot outliers or other unexpected numbers in the data.

The **link between** two or more **variables** is displayed **using heatmaps,** another style of **visualization** that uses a **matrix** to **encode data** as **colors.**

A **graph** that **uses** a set of **vertical lines** and **horizontal lines** to depict data is called a **box plot,** often known as a box and whisker plot. It’s used to **show how** a **continuous variable,** like height or weight, is **distributed.** The **whiskers,** or **vertical lines extending** from the box, **display** the **data’s minimum** and **maximum values.** Outliers are any data points that fall outside of the whiskers.

**Visual Examples of Plots**

**Example 1**

There are **four classes** that are participating in a **math competition,** from **class** **1**, **five students** are **participating,** from **class** **2**, **three students** are participating from **class** **3, one student** is participating and from **class** **4**, **six students** are **participating. Sketch** a **Line Plot** for this data.

**Solution**

Figure 5 – Example of line plot showing number of students participating in competition

**Example 2**

**Suppose** there are **four persons,** the **first person** ate **one apple,** the **second person** ate **two apples,** the **third person** ate **three apples** and the **fourth person** ate **four apples. Sketch** a **bar plot** for this problem.

**Solution**

Figure 6 – Example of number of person eating apples represented inform of Bar Plot

*All mathematical drawings and images were created with GeoGebra.*