I need to produce a table that will allow you to look up various types of scores for a test using the number of correct answers like this:
|Raw score|Sten score|z-Score|t-Score|Percentile|
|---------|----------|-------|-------|----------|
|45 |9 |1.701 |? |? |
|44 |9 |1.580 |? |? |
|43 |8 |1.461 |? |? |
I have managed to do it for sten scores and z-scores, but I can't work out how to do it for percentiles and t-scores.
I know that my data is normally distributed, and I know the min/max scores, the mean, the standard deviation, and the sample size... I think it should be possible using this information to calculate the t-scores and percentile, but all the advice I have seen thus far is to just look it up in a table.
If anyone could give me a formula to calculate the t-scores and percentile that would be awesome!