Indicate which level of measurement is being used in the given scenario. The teacher of a class of third graders records the height of each student.
Question
Indicate which level of measurement is being used in the given scenario.
The teacher of a class of third graders records the height of each student.
Solution
Level of Measurement Analysis
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Understanding Measurement Levels
There are four levels of measurement: nominal, ordinal, interval, and ratio. Each level has specific characteristics that dictate how the data can be treated. -
Applying to the Given Scenario
In the scenario where the teacher records the height of each student, it is essential to identify the nature of the data. Height is a quantitative measurement that represents a continuous variable. -
Determining the Correct Level
- Nominal: This level categorizes data without a specific order (e.g., gender, colors).
- Ordinal: This level ranks data in an ordered manner but does not measure the exact difference between them (e.g., class ranks).
- Interval: This level measures data along a scale where each point is placed at an equal distance from one another, but it lacks a true zero (e.g., temperatures in Celsius).
- Ratio: This level includes all the properties of interval data while also having a true zero point, allowing for the measurement of magnitude of differences (e.g., height, weight).
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Conclusion
Since height is a measurement that has a meaningful zero (a height of zero indicates the absence of height) and allows for comparisons between different heights, it falls under the ratio level of measurement.
Final Answer
The height of each student is measured at the ratio level of measurement.
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