Which of the following variables use the ratio scale of measurement?Group of answer choicestimename of stock exchangeSAT scoresSSS number
Question
Which of the following variables use the ratio scale of measurement?Group of answer choicestimename of stock exchangeSAT scoresSSS number
Solution
The variable that uses the ratio scale of measurement among the given options is SAT scores.
Here's why:
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Time: Time can be measured on an interval scale because it has a defined zero point, but it's not a ratio scale because the ratios of differences are not meaningful. For example, saying that 10:00 AM is twice as late as 5:00 AM is not meaningful.
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Name of stock exchange: This is a nominal scale of measurement. It's used for labeling variables, without any quantitative value.
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SAT scores: SAT scores are a ratio scale of measurement. They have a clear definition of zero (you can score zero on the SAT). They also have the same consistent interval (the difference between a score of 1800 and 1900 is the same as the difference between 1900 and 2000). This means you can meaningfully say that a score of 2000 is twice as high as a score of 1000.
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SSS number: This is a nominal scale of measurement. It's used for labeling variables, without any quantitative value. The numbers themselves don't have mathematical meaning beyond their role as identifiers.
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