Scatter plot in the context of Hertzsprung-Russell diagram

Statistics (from German: Statistik, orig. "description of a state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments.

When census data (comprising every member of the target population) cannot be collected, statisticians collect data by developing specific experiment designs and survey samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample to the population as a whole. An experimental study involves taking measurements of the system under study, manipulating the system, and then taking additional measurements using the same procedure to determine if the manipulation has modified the values of the measurements. In contrast, an observational study does not involve experimental manipulation.

A line chart or line graph, also known as curve chart, is a type of chart that displays information as a series of data points called 'markers' connected by straight line segments. It is a basic type of chart common in many fields. It is similar to a scatter plot except that the measurement points are ordered (typically by their x-axis value) and joined with straight line segments. A line chart is often used to visualize a trend in data over intervals of time – a time series – thus the line is often drawn chronologically. In these cases they are known as run charts.

A Hertzsprung–Russell diagram (abbreviated as H–R diagram, HR diagram or HRD) is a scatter plot of stars showing the relationship between the stars' absolute magnitudes or luminosities and their stellar classifications or effective temperatures. It is also sometimes called a color magnitude diagram. The diagram was created independently in 1911 by Ejnar Hertzsprung and by Henry Norris Russell in 1913, and represented a major step towards an understanding of stellar evolution.

The Inglehart–Welzel cultural map of the world is a scatter plot created by political scientists Ronald Inglehart and Christian Welzel based on the World Values Survey and European Values Study. It depicts closely linked cultural values that vary between societies in two predominant dimensions: traditional versus secular-rational values on the vertical y-axis and survival versus self-expression values on the horizontal x-axis. Moving upward on this map reflects the shift from traditional values to secular-rational ones and moving rightward reflects the shift from survival values to self-expression values.

According to the authors: "These two dimensions explain more than 70 percent of the cross-national variance in a factor analysis of ten indicators—and each of these dimensions is strongly correlated with scores of other important orientations."