Under which measurement scale is data categorized, but not ranked?
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A. B. C. D.C
The correct answer is B. A nominal scale.
A measurement scale is a system used to categorize or measure data. There are four primary types of measurement scales: nominal, ordinal, interval, and ratio.
A nominal scale is a measurement scale where data is categorized into mutually exclusive groups, but there is no ranking or order of the categories. Examples of nominal scale data include gender, race, religion, and type of car. These categories are exclusive and non-overlapping, but there is no inherent order or ranking to the categories.
An ordinal scale is a measurement scale where data is categorized and ranked in order. However, the differences between the categories are not necessarily equal. Examples of ordinal scale data include rating scales, such as Likert scales or satisfaction scales, where individuals are asked to rank their responses on a scale of 1-10 or from "strongly agree" to "strongly disagree."
An interval scale is a measurement scale where the data is categorized, ranked, and the intervals between the categories are equal. Examples of interval scale data include temperature, where the difference between 0 degrees Celsius and 10 degrees Celsius is the same as the difference between 20 degrees Celsius and 30 degrees Celsius.
A ratio scale is a measurement scale where data is categorized, ranked, and the intervals between the categories are equal, but there is also an absolute zero point. Examples of ratio scale data include height, weight, and income.
In summary, nominal scales categorize data but do not rank them, while ordinal scales rank data, but do not ensure equal intervals. Interval scales rank data with equal intervals, and ratio scales have a true zero point.