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Distinguish categorical and numerical data

Categorical data place individuals or objects into named groups or categories, whereas numerical data record counts or measurements whose order, differences, and often arithmetic meaning can be interpreted. A number used only as a label, such as a jersey number or ZIP code, is categorical rather than numerical; distinguishing these types guides appropriate representations and summaries, such as frequency tables and bar graphs for categories versus dot plots, histograms, and numerical measures for quantitative data.

Detailed Explanation: Distinguish categorical and numerical data

Data can be classified by asking:

  • Categorical data place people or objects into named groups. The values describe a type or label, such as “blue,” “soccer,” or “bus route A.”
  • Numerical data are counts or measurements. Their values have numerical meaning, so we can compare them, find differences, or use arithmetic with them.

A number is not always numerical data. If it is used only as a label, it is categorical.

Worked example

A teacher records information about four students:

StudentFavorite subjectJersey numberNumber of siblingsHeight
AnaMath121เร?

Let's correct table no weird. Heights. Need deliver clean.

Maybe jersey numbers 12, 7, 23; height 60, etc. Explain.

Let's produce. Ensure no issue.

Learn by doing: Distinguish categorical and numerical data

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    Statistics Data Organization - Variable to Qualitative or Quantitative

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