Data — Definition, Formula & Examples

Data is a collection of facts, numbers, or measurements gathered by observing, counting, or measuring things. In math, data usually refers to a set of numbers that you can organize, display, and analyze.

Data consists of individual values or observations collected through a systematic process such as surveying, experimenting, or recording. Each piece of data is called a data point, and a complete collection of data points forms a data set.

How It Works

You collect data by counting, measuring, or asking questions. Once collected, you organize it into lists, tables, or graphs so you can spot patterns. From there, you can calculate things like the average, the range, or the most common value. The more data points you have, the more reliable your conclusions tend to be.

Worked Example

Problem: A teacher records the number of books five students read last month: 3, 5, 2, 5, 10. Organize this data and find how many books were read in total.

Identify the data set: The data set contains five values, one for each student.

\{3,\; 5,\; 2,\; 5,\; 10\}

Order the data: Arranging the values from least to greatest makes them easier to analyze.

2,\; 3,\; 5,\; 5,\; 10

Find the total: Add all the data points together.

2 + 3 + 5 + 5 + 10 = 25

Answer: The data set is {2, 3, 5, 5, 10}, and the students read 25 books in total.

Why It Matters

Every chart, graph, or statistic you encounter starts with data. Learning to collect and organize data prepares you for science experiments, social studies projects, and later courses in statistics and probability.

Common Mistakes

Mistake: Confusing a single number with a data set.

Correction: A single number is one data point. A data set is a collection of multiple data points that you analyze together.