Norms Table Generator (Percentile, z, T)

The norms table generator turns the raw scores of your sample into the complete norms appendix of a validation thesis: empirical percentile by mid-rank (PR = 100·(cf + f/2)/n, tied scores share a percentile), linear z score (z = (X − M)/SD) and T score (T = 50 + 10z), overall and by group (sex, school year...), collapsing raw scores that share a percentile into ranges. It adds the descriptives (n, M, SD, median, skewness and kurtosis with their standard errors, SPSS formulas) and a methodological note in APA 7 ready for the Method section. Worked example: Rosenberg Self-Esteem Scale in 300 students (women n = 159, M = 29.40, SD = 5.04; men n = 141, M = 30.67, SD = 4.52; overall M = 29.99, SD = 4.84): a raw score of 34 corresponds to the 79th percentile in the overall norms (z = 0.83, T = 58.3), the 81st among women and the 78th among men. How many participants are needed for norming? With fewer than 100 per group the extreme percentiles depend on a handful of cases and the norms should be presented as provisional (Fernandez-Ballesteros, 2013); commercial tests use 300 or more per group. Empirical percentiles or normalized scores? The z and T scores of this tool are linear transformations: they preserve the real shape of the distribution and do not normalize it (no stanines, deliberately); if the distribution is strongly skewed, the percentile is the honest reference. Tables copy into Word with APA rules (no vertical ones) or download as a .docx.

Build your test norms table from raw scores: empirical percentiles, z and T scores, overall and by group, with descriptives and a ready APA 7 method note.

How to cite this tool

If you use it in your thesis or in a paper, cite it so that readers of your Methods section know how the calculation was done.

Ciudad-Fernández, V. (2026). Norms table generator [Web application]. Ciudad Science. Retrieved October 14, 2026, from https://analisisdedatospsicologia.com/en/tools/norms-table-generator

For your Methods section: The norms tables (percentiles and derived standard scores) were built with the Ciudad Science norms table generator (Ciudad-Fernández, 2026).

@misc{ciudadfernandez2026baremos,
  author       = {Ciudad-Fern{\'a}ndez, V{\'i}ctor},
  title        = {{Norms table generator}},
  year         = {2026},
  publisher    = {Ciudad Science},
  howpublished = {Web application},
  url          = {https://analisisdedatospsicologia.com/en/tools/norms-table-generator},
  urldate      = {2026-10-14},
  note         = {Accessed 2026-10-14},
}

You may also be interested in

Home · Contact for a quote