How to use the scaled score and percentile calculator
A raw score on its own says very little. Forty-four correct answers is excellent on a hard section and ordinary on an easy one, which is why standardized tests report a scaled score instead: your distance from the group average, restated on a fixed scale. Enter one section per line with its raw score, the cohort mean, the standard deviation and the scale you want, and every section is converted at once.
The mean and the standard deviation are inputs because they belong to the group that sat the same test, not to the formula. The conversion itself is fixed: a z-score of (raw โ mean) รท SD is placed on the scale you choose. The SAT option uses a mean of 500 and a standard deviation of 100, the design behind SAT section scores; the T option uses the standard T-score scale of mean 50 and SD 10 that appears on many published test reports. Copy the cohort figures from your score report or ask your teacher for the class numbers.
Scaled scores are shown as whole numbers and the total adds those whole numbers, matching how score reports print them. Percentiles are computed from the unrounded z-score, so no precision is lost partway through the chain.
The percentile here assumes scores follow a normal curve. Official percentiles are built from the real distribution of a real cohort, so treat this as a close estimate rather than the published figure. Grade or band decisions are not made here.
Frequently asked questions
A scaled score is only meaningful against the group that took the same test. The conversion formula is fixed, but the mean and standard deviation belong to your cohort, so they come from your score report or your teacher rather than from this page.
The SAT option places the scale at a mean of 500 with a standard deviation of 100, matching how SAT section scores are designed. The T option uses the standard T-score scale of mean 50 and standard deviation 10 that many published test reports use.
No. This percentile assumes the scores follow a normal curve, while the official percentile comes from the actual distribution of a real cohort, so the two can differ by a few points.