Library2D Plotting: `plot`, `scatter`, `bar`, `hist`

2D Plotting: `plot`, `scatter`, `bar`, `hist`

Learn about 2D Plotting: `plot`, `scatter`, `bar`, `hist` as part of MATLAB Programming for Engineering and Scientific Research

2D Plotting in MATLAB: Visualizing Your Data

MATLAB is a powerful tool for numerical computation, and its 2D plotting capabilities are essential for engineers and scientists to visualize data, identify trends, and communicate findings. This module will introduce you to fundamental 2D plotting functions:

code
plot
,
code
scatter
,
code
bar
, and
code
hist
.

The `plot` Function: Line Plots

The

code
plot
function is the most common way to create 2D line plots. It's ideal for displaying the relationship between two variables, often representing continuous data over time or across a range.

`plot(x, y)` creates a line plot of y versus x.

The basic syntax plot(x, y) draws a line connecting the data points defined by the x and y vectors. You can customize line styles, colors, and markers.

When you provide two vectors, x and y, of the same length, plot(x, y) creates a line plot where each point (x(i), y(i)) is connected by a line segment. If you provide only one vector, plot(y), MATLAB plots y against the index of the elements in y. Advanced usage includes specifying line properties like color, line style, and marker type, e.g., plot(x, y, 'r--o') for a red dashed line with circle markers.

What is the primary purpose of the plot function in MATLAB?

To create 2D line plots, connecting data points.

The `scatter` Function: Scatter Plots

Scatter plots are used to display individual data points without connecting them with lines. This is useful for identifying patterns, clusters, and outliers in your data.

`scatter(x, y)` creates a scatter plot of individual data points.

Unlike plot, scatter draws each point as a distinct marker, making it easier to see the distribution of data and potential relationships without the influence of connecting lines.

The scatter(x, y) function plots each pair of (x(i), y(i)) as a marker. This is particularly useful when the order of data points is not inherently meaningful, or when you want to visualize the density and spread of data. You can also control marker size, color, and type, similar to plot.

When would you choose scatter over plot?

When you want to visualize individual data points and their distribution, without connecting lines, to identify patterns or outliers.

The `bar` Function: Bar Charts

Bar charts are excellent for comparing categorical data or showing discrete values across different groups.

`bar(y)` or `bar(x, y)` creates a bar chart.

Bar charts use rectangular bars to represent data values. The height of each bar corresponds to the value it represents, making comparisons between categories straightforward.

The bar(y) function creates a bar chart where the height of each bar represents the corresponding element in y. The bars are positioned at integer locations (1, 2, 3, ...). bar(x, y) allows you to specify the positions of the bars using the x vector. You can also create grouped or stacked bar charts for more complex comparisons.

A bar chart visually represents data using rectangular bars of varying heights. The x-axis typically represents categories or discrete groups, while the y-axis represents the magnitude or frequency of each category. This makes it easy to compare values across different groups at a glance.

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What type of data is best represented by a bar chart?

Categorical data or discrete values across different groups.

The `hist` Function: Histograms

Histograms are used to visualize the distribution of a dataset by dividing the data into bins and showing the frequency of data points within each bin.

`histogram(data)` or `histogram(data, numBins)` creates a histogram.

A histogram shows the frequency distribution of a dataset. It helps you understand the shape of the data, its central tendency, and its spread.

The histogram(data) function automatically determines appropriate bins for your data. You can also specify the number of bins or the bin edges using histogram(data, numBins) or histogram(data, edges). The height of each bar in a histogram represents the count or frequency of data points falling within that bin. Note: In newer MATLAB versions, histogram is preferred over the older hist function for more flexibility and better defaults.

What does the height of a bar in a histogram represent?

The frequency or count of data points within a specific bin.

Enhancing Your Plots

Beyond the basic plotting functions, MATLAB offers numerous ways to enhance your visualizations for clarity and impact. This includes adding titles, axis labels, legends, grid lines, and customizing colors and line styles.

Always label your axes and provide a title and legend to make your plots understandable to others (and your future self!).

Key functions for plot enhancement include:

code
title()
,
code
xlabel()
,
code
ylabel()
,
code
legend()
,
code
grid on
,
code
hold on
/
code
hold off
(for plotting multiple datasets on the same axes).

Putting It All Together: A Simple Example

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By mastering these fundamental 2D plotting functions, you can effectively visualize and analyze your engineering and scientific data in MATLAB.

Learning Resources

MATLAB Documentation: Plotting(documentation)

The official MATLAB documentation provides comprehensive guides and examples for all plotting functions, including `plot`, `scatter`, `bar`, and `histogram`.

MATLAB Plotting Tutorial - MathWorks(tutorial)

A hands-on tutorial from MathWorks covering the basics of creating various types of plots in MATLAB, with practical examples.

Creating Scatter Plots in MATLAB - MathWorks(documentation)

Detailed documentation for the `scatter` function, explaining its syntax, options, and providing usage examples.

Creating Bar Charts in MATLAB - MathWorks(documentation)

Official documentation for the `bar` function, covering simple bar charts, grouped bars, and stacked bars.

Creating Histograms in MATLAB - MathWorks(documentation)

Comprehensive guide to the `histogram` function, including how to control binning and customize histogram appearance.

MATLAB Plotting Examples - File Exchange(blog)

A collection of user-submitted MATLAB code examples for various plotting techniques, offering practical solutions and inspiration.

YouTube: MATLAB 2D Plotting Tutorial(video)

A video tutorial demonstrating how to create and customize 2D plots in MATLAB, covering essential functions and techniques.

Understanding Histograms - Towards Data Science(blog)

An article explaining the concept and application of histograms in data analysis and visualization, providing context for MATLAB's `histogram` function.

MATLAB Plotting Best Practices(blog)

Tips and best practices for creating effective and informative plots in MATLAB, focusing on clarity and communication.

MATLAB Plotting Functions Overview(documentation)

An overview page from MathWorks that lists and briefly describes various plotting functions available in MATLAB, serving as a quick reference.