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Data and information visualization

Data and information visualization is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Data and information visualization rather than just read about it. In short: Data and information visualization (data viz/vis or info viz/vis) is the practice of designing and creating graphic or visual representations of quantitative and qualitative data and information with the help of static, dynamic or interactive visual items. These visualizations are intended to help a target audience visually explore and discover, quickly understand, interpret and gain important insights into otherwis…

Data and information visualization — main illustration
Data and information visualization — illustration

Key takeaways

  • Data and information visualization belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Data and information visualization to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Data and information visualization from memory before moving on to harder problems.

Reference excerpt

Data and information visualization (data viz/vis or info viz/vis) is the practice of designing and creating graphic or visual representations of quantitative and qualitative data and information with the help of static, dynamic or interactive visual items. These visualizations are intended to help a target audience visually explore and discover, quickly understand, interpret and gain important insights into otherwise difficult-to-identify structures, relationships, correlations, local and global patterns, trends, variations, constancy, clusters, outliers and unusual groupings within data. When intended for the public to convey a concise version of information in an engaging manner, it is typically called infographics. Data visualization is concerned with presenting sets of primarily quantitative raw data in a schematic form, using imagery. The visual formats used in data visualization includes charts and graphs, geospatial maps, figures, correlation matrices, percentage gauges, etc.. Information visualization deals with multiple, large-scale and complicated datasets which contain quantitative data, as well as qualitative, and primarily abstract information, and its goal is to add value to raw data, improve the viewers' comprehension, reinforce their cognition and help derive insights and make decisions as they navigate and interact with the graphical display. Visual tools used include maps for location based data; hierarchical organisations of data; displays that prioritise relationships such as Sankey diagrams; flowcharts, timelines. In addition, Narrative visualization is a method that uses visual elements such as charts, graphs, maps and the like to convey data or information. This approach blends data analysis, storytelling, and visualization to present information through structured narrative flows- using visuals not just to present statistics, but to tell a story through data. Its goal is to help people identify trends, patterns, and relationships in data through a compelling story-driven visual experience. Emerging technologies like virtual, augmented and mixed reality have the potential to make information visualization more immersive, intuitive, interactive and easily manipulable and thus enhance the user's visual perception and cognition. In data and information visualization, the goal is to graphically present and explore abstract, non-physical and non-spatial data collected from databases, information systems, file systems, documents, business data, which is different from scientific visualization, where the goal is to render realistic images based on physical and spatial scientific data to confirm or reject hypotheses. Effective data visualization is well-sourced, appropriately contextualized, and presented in a simple, uncluttered manner. The underlying data is accurate and up-to-date to ensure insights are reliable. Graphical items are well-chosen and aesthetically appealing, with shapes, colors and other visual elements used deliberately in a meaningful and non-distracting manner. The visuals are accompanied by supporting texts. Verbal and graphical components complement each other to ensure clear, quick and memorable understanding. Effective information visualization is aware of the needs and expertise level of the target audience. Effective visualization can be used for conveying specialized, complex, big data-driven ideas to a non-technical audience in a visually appealing, engaging and accessible manner, and domain experts and executives for making decisions, monitoring performance, generating ideas and stimulating research. Data scientists, analysts and data mining specialists use data visualization to check data quality, find errors, unusual gaps, missing values, clean data, explore the structures and features of data, and assess outputs of data-driven models. Data and information visualization can be part of data storytelling, where they are paired with a narrative structure, to contextualize the analyzed data and communicate insights gained from analyzing it to convince the audience into making a decision or taking action. This can be contrasted with statistical graphics, where complex data are communicated graphically among researchers and analysts to help them perform exploratory data analysis or convey results of such analyses, where visual appeal, capturing attention to a certain issue and storytelling are less important. Data and information visualization is interdisciplinary, it incorporates principles found in descriptive statistics, visual communication, graphic design, cognitive science and, interactive computer graphics and human-computer interaction. Since effective visualization requires design skills, statistical skills and computing skills, it is both an art and a science. Visual analytics combines statistical data analysis, data and information visualization, and human analytical reasoning through interactive visual interfaces to help users reach conclusions, gain actionable insights and make informed decisions which are otherwise difficult for computers to do. Research into how people read and misread types of visualizations helps to determine what types and features of visualizations are most understandable and effective. Unintentionally poor or intentionally misleading and deceptive visualizations can function as powerful tools which disseminate misinformation, manipulate public perception and divert public opinion. Thus data visualization literacy has become an important component of data and information literacy in the information age akin to the roles played by textual, mathematical and visual literacy in the past.

Overview

… excerpt ends here. Continue reading the full article.

Illustrations

Data and information visualization: Anscombe's quartet comprises four datasets that have nearly identical simple descriptive statistics, yet appear very different when graphed. Developed by Francis Anscombe in 1973, it demonstrates the importance of data visualization.
Anscombe's quartet comprises four datasets that have nearly identical simple descriptive statistics, yet appear very different when graphed. Developed by Francis Anscombe in 1973, it demonstrates the importance of data visualization.
Data and information visualization illustration
Data and information visualization illustration
Data and information visualization: Data visualization is one of the steps in analyzing data and presenting it to users.
Data visualization is one of the steps in analyzing data and presenting it to users.
Data and information visualization: Partial map of the Internet early 2005 represented as a graph; each line represents two IP addresses, and some delay between those two nodes.
Partial map of the Internet early 2005 represented as a graph; each line represents two IP addresses, and some delay between those two nodes.

Worked examples

Example 1 — a first encounter with Data and information visualization

Start with the simplest possible case. Write down what Data and information visualization claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Data and information visualization before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Data and information visualization ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Data and information visualization

In research
Data and information visualization appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Data and information visualization in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Data and information visualization is common in secondary-school and first-year university syllabi. It links to neighbouring topics Data and information visualization, Information technology governance, Statistical charts and diagrams, so understanding it makes those chapters shorter.
In everyday life
Look for Data and information visualization outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Data and information visualization in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Data and information visualization means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Data and information visualization out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Data and information visualization in simple terms?

Data and information visualization (data viz/vis or info viz/vis) is the practice of designing and creating graphic or visual representations of quantitative and qualitative data and information with the help of static, dynamic or interactive visual items. These visualizations are intended to help…

Why does Data and information visualization matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Data and information visualization?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Data and information visualization.

Tags

  • Data and information visualization
  • Information technology governance
  • Statistical charts and diagrams
  • Visualization (graphics)

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