SCALED SCORE CALCULATORScaled Score Calculator from Raw Score
Click here for a Raw Score Calculator
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Getting ready for the AP Statistics exam?
Take this multiple choice AP Statistics Practice Exam and practice for the test. If you need to calculate the SAT scaled score use this calculator. |
HOW DOES IT WORK?
To be able to calculate scaled scores, you need to know:
1) What is the Max. raw score possible in your scale of raw scores?
i.e., If you are working with results from a school quiz, the maximum score that students can achieve is 100 because, in schools, the scales on examinations range from 0 to 100. So, in this case, you will have to introduce in the 'Max. Raw score possible' slot, the value of 100.
2) What is the Max. scaled score possible in your scale of scaled scores?
i.e., If your range goes from 0 to 80, you will have to introduce the number 80 on the 'Max. Scaled score possible' slot. If you are making up your scaled score scale or you don't know it, we suggest you put there 100.
3) What is the Raw score to transform? It is the number that we want to convert into a scaled score.
This method will only work if both of your scales start at the same point, usually at 0. And if both measurements are proportional, which means that this formula will work for most cases at an introductory level.
To be able to calculate scaled scores, you need to know:
1) What is the Max. raw score possible in your scale of raw scores?
i.e., If you are working with results from a school quiz, the maximum score that students can achieve is 100 because, in schools, the scales on examinations range from 0 to 100. So, in this case, you will have to introduce in the 'Max. Raw score possible' slot, the value of 100.
2) What is the Max. scaled score possible in your scale of scaled scores?
i.e., If your range goes from 0 to 80, you will have to introduce the number 80 on the 'Max. Scaled score possible' slot. If you are making up your scaled score scale or you don't know it, we suggest you put there 100.
3) What is the Raw score to transform? It is the number that we want to convert into a scaled score.
This method will only work if both of your scales start at the same point, usually at 0. And if both measurements are proportional, which means that this formula will work for most cases at an introductory level.
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THE THEORY OF HOW A SCALED SCORE CALCULATOR WORKS
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Raw score to scaled score calculator, it is also known as scaled score conversion.
These are the steps you need to follow to calculate scaled scores.
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To calculate a scaled score from a raw score, most of the time, you will have a chart to follow or a formula to make a conversion. You need to find the table or the arithmetic operation required for your specific case or makeup one if you are starting from scratch.
These are the two ways to calculate a scaled score from a raw score: CHART Just look up the number and see which scaled score corresponds. i.e., looking at this chart, for a raw score of 20, it corresponds to a scaled score of 3. For a raw score of 40, it corresponds to a scaled score of 12. You need to follow the chart. |
FORMULA
Apply the formula to every raw score to get your scaled score.
i.e., we know that the transformation formula is scaled score = (raw score + 15)/2. If we apply the formula, we get that for a raw score of 10; it corresponds to a scaled score of 12.5.
Why? We apply the formula.
scaled score = (raw score + 15)/2
scaled score = (10 + 15)/2
scaled score = 25/2 = 12.5
Knowing how to do it, we can keep applying the formula to all the raw numbers and get the conversion chart.
Apply the formula to every raw score to get your scaled score.
i.e., we know that the transformation formula is scaled score = (raw score + 15)/2. If we apply the formula, we get that for a raw score of 10; it corresponds to a scaled score of 12.5.
Why? We apply the formula.
scaled score = (raw score + 15)/2
scaled score = (10 + 15)/2
scaled score = 25/2 = 12.5
Knowing how to do it, we can keep applying the formula to all the raw numbers and get the conversion chart.
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Note that what you are doing here is calculating scaled punctuations from raw punctuations. It is a common practice in tests and examinations, such as to calculate your SAT scores, or to calculate any other well-known tests such as GMAT. For both examples you can find GMAT and SAT calculators as well.
Finally, keep in mind that raw scores are hard to analyze; on the other hand, all scaled scores follow a pattern and, therefore, they are easy to compare and understand. In some cases, you will need help from other useful tools, such as a psychometric conversion table. It will help you to get your results with no need to use formulas since all the transformations are already done.
Finally, keep in mind that raw scores are hard to analyze; on the other hand, all scaled scores follow a pattern and, therefore, they are easy to compare and understand. In some cases, you will need help from other useful tools, such as a psychometric conversion table. It will help you to get your results with no need to use formulas since all the transformations are already done.
