To be able to calculate standard scores from scaled scores, you need to know:
1) The mean of your scaled score data.
i.e. If you are working with results of a school quiz, the mean would be the average score of all of them. Add them all up and divide by the number of scores.
2) What is the standard deviation of you scaled scores data.
i.e. To do that, you need to calculate the mean, substract the mean to eac number and square the result, calculate the mean of that results, and calculate the square root of that. You can also click on our Standard Deviation Calculator and we will do all of that for you ;)
Finally, you just need to introduce the scaled score that you want to transform into the 'Scaled Score' slot. "
A scaled score is the transformation of a raw score into a new scale. We use this process to make those scores easier to be understood, specially when we compare them to scores measured using different scales. What we do when we scale scores, is transforming those scores into a new scale. We apply certain operations on those numbers and then obtain results in our new scale.
There are several reasons why Standardized Testing Programs report scaled scores. The main reason is because we can then do a fair comparison between people's results. We can say that standardization leads to fairness. Understanding a scaled score is not always an easy task. You might have to find different definitions. On this website you will find all the resources you will need. Use them wisely!
What is a standard score