Log in Sign up
Back to Discover
🔢

Data analysis

math Maturity 11-13

We look at facts to learn things.

Data visualization process v1.png
Data visualization process v1.png
We find patterns in numbers. This helps us make good choices. It helps us solve puzzles. It is a way to see the world. Can you find a pattern today?

41 words

People collect facts to learn new things.

Data visualization process v1.png
Data visualization process v1.png
These facts are called data. You can find data in many ways. You can use sensors or cameras. You can also use interviews.
Relationship of data, information and intelligence.png
Relationship of data, information and intelligence.png
First, you must clean the data. This means fixing mistakes or errors. Next, you look for patterns. You can use charts to see them. This helps people make good choices.
Total Revenues and Outlays as Percent GDP 2013.png
Total Revenues and Outlays as Percent GDP 2013.png
It is a way to solve big puzzles.

86 words

Imagine you have a huge pile of mixed toys. You want to know which ones are your favorite. You must first sort them into groups. This is like data analysis. Data analysis is a way to study facts. We use it to find useful information.

Data visualization process v1.png
Data visualization process v1.png

First, you must collect your data. You can get data from many places. You might use cameras or sensors. You can also use interviews. Sometimes you download data from the web.

Relationship of data, information and intelligence.png
Relationship of data, information and intelligence.png

Next, you must clean the data. This means fixing mistakes. You might find double entries or errors. You want your data to be correct. After that, you can look for patterns. You can use math to find connections. This is called modeling.

Total Revenues and Outlays as Percent GDP 2013.png
Total Revenues and Outlays as Percent GDP 2013.png

Finally, you show what you found. People use charts and tables to see the facts. A line chart can show how things change over time. A pie chart shows how parts make a whole.

U.S. Phillips Curve 2000 to 2013.png
U.S. Phillips Curve 2000 to 2013.png
This helps people make smart choices.

182 words

Imagine you have a huge pile of mixed information. You want to find a secret pattern hidden inside it. This is what data analysis does for us. It is a way to look at, clean, and change raw data. The goal is to find useful information that helps people make big decisions.

Data visualization process v1.png
Data visualization process v1.png
In the business world, this helps companies work much better. It makes their choices more scientific instead of just guessing. Data analysis can be used in many places like science or social studies.

The work happens in several steps that often repeat. First, you must decide what information you need to collect. You might look at people or groups of people. This group is called an experimental unit. You can gather data from many places like sensors or traffic cameras. You can also use interviews or download things from the web.

Relationship of data, information and intelligence.png
Relationship of data, information and intelligence.png
Once you have it, you must organize it into rows and columns. This is often done using a spreadsheet like Excel.

Raw data is often messy and needs to be fixed. This step is called data cleaning. You might find mistakes, errors, or things that are listed twice. Analysts use special tasks to find these problems. For example, they might check if a total number is correct. They can also use spell checkers for text data.

US Employment Statistics - March 2015.png
US Employment Statistics - March 2015.png
If a number looks very strange, they might remove it. This helps ensure the information is high quality.

A famous statistician named John Tukey helped define this work. In 1961, he described it as a set of procedures. He said it includes ways to plan how to gather data. It also includes the math used to interpret the results. This makes the analysis more precise and accurate.

Total Revenues and Outlays as Percent GDP 2013.png
Total Revenues and Outlays as Percent GDP 2013.png
Today, people use many different types of analysis. Some focus on describing what happened in the past. Others, called predictive analytics, try to guess what might happen next.

After the math is done, you must share your findings. This is called data visualization. It uses pictures like charts and tables to show messages. A line chart can show how one thing changes over time.

U.S. Phillips Curve 2000 to 2013.png
U.S. Phillips Curve 2000 to 2013.png
A pie chart is great for showing parts of a whole. You can also use a scatter plot to see how two things move together. These pictures help everyone understand the data quickly and clearly.

410 words

Data analysis is the systematic process of inspecting, cleansing, transforming, and modeling data. The primary goal is to discover useful information, inform conclusions, and support decision-making. In the modern business world, this process helps organizations operate more effectively. It moves decision-making away from mere guesswork and toward a more scientific approach. This field encompasses many diverse techniques used across business, science, and social science domains.

Data visualization process v1.png
Data visualization process v1.png

The process begins with establishing specific data requirements. Analysts must determine what information is necessary to answer a specific question. The entity being studied is called an experimental unit, such as a person or a population. Data can be numerical or categorical, which means it uses text labels for numbers. Analysts collect this data from many sources. These include sensors like traffic cameras and satellites, or through interviews and online downloads.

Relationship of data, information and intelligence.png
Relationship of data, information and intelligence.png

Once gathered, the data must undergo integration and cleaning. Data integration involves organizing raw data into a structured format, like rows and columns in a spreadsheet. However, raw data is often incomplete or contains errors. Data cleaning is the process of preventing and correcting these mistakes. Analysts perform tasks like record matching and deduplication to remove repeated entries. They may also use outlier detection to remove numbers that were likely entered incorrectly. For text data, they might use spell checkers to fix typos.

After cleaning, analysts perform exploratory data analysis, also known as EDA. This stage focuses on discovering new features and patterns within the datasets. Analysts often use descriptive statistics to characterize the data. These include the mean, which is the average, the median, and the standard deviation. Data visualization is also used here to examine the information in a graphical format. This helps the analyst gain deeper insights before moving to more complex mathematical modeling.

User-activities.png
User-activities.png

Mathematical modeling is the next stage of the process. Analysts apply formulas and algorithms to identify relationships between different variables. They look for correlation, which shows if variables move together, and causality, which shows if one thing causes another. A common tool is regression analysis. This is used to see if a change in an independent variable, like advertising, explains a change in a dependent variable, like sales. The goal is to create a model where the mathematical error is as small as possible.

U.S. Phillips Curve 2000 to 2013.png
U.S. Phillips Curve 2000 to 2013.png

In 1961, the statistician John Tukey provided a formal definition of data analysis. He described it as a set of procedures for analyzing data and techniques for interpreting results. He also included the ways to plan data gathering to make the analysis more precise or accurate. This definition highlighted the importance of the "machinery" of mathematical statistics. Today, this work has branched into specialized areas. Data mining uses statistical modeling for predictive purposes, while business intelligence focuses on aggregating business information.

Total Revenues and Outlays as Percent GDP 2013.png
Total Revenues and Outlays as Percent GDP 2013.png

To communicate findings, analysts use data visualization to create clear messages. Stephen Few described eight types of quantitative messages that can be communicated. These include time-series, which tracks a variable over time, and ranking, which orders categories. Part-to-whole messages use pie charts to show ratios. Deviation compares actual results against a reference, like a budget. Frequency distributions use histograms to show how often values occur. Correlation uses scatter plots, while geographic messages use maps.

Social Network Analysis Visualization.png
Social Network Analysis Visualization.png

Finally, analysts often use structured principles to ensure their work is thorough. McKinsey and Company identified the MECE principle for breaking down complex problems. MECE stands for "Mutually Exclusive and Collectively Exhaustive." This means each part of the analysis must be separate from the others, but all parts together must cover the entire problem. For example, total profit can be broken down into revenue and cost. This ensures no information is overlapping and no important piece is missing.

US Employment Statistics - March 2015.png
US Employment Statistics - March 2015.png

640 words
🖼️ Images & Media (7)
File:Data visualization process v1.png
Data visualization process v1.png
File:Relationship of data, information and intelligence.png
Relationship of data, information and...
File:Social Network Analysis Visualization.png
Social Network Analysis Visualization.png
File:Total Revenues and Outlays as Percent GDP 2013.png
Total Revenues and Outlays as Percent GDP 2013.png
File:U.S. Phillips Curve 2000 to 2013.png
U.S. Phillips Curve 2000 to 2013.png
File:US_Employment_Statistics_-_March_2015.png
US_Employment_Statistics_-_March_2015.png
File:User-activities.png
User-activities.png
Up Next
🔢
Statistical inference
Math
More to explore

What is Nepedia?

A free, ad-free encyclopedia for children. Every article is written at five reading levels, so the same page works for a five-year-old and a fifteen-year-old — use the level switcher above to see this one change. No account needed to read.