Class Rank Percentile Calculator
Enter your rank (1 = highest) and the cohort size to instantly convert it to percentile rank, quartile and decile — commonly required for college applications, scholarship interviews and within-class comparisons.
Please enter valid numbers: rank ≥ 1, total ≥ 1, and rank must not exceed total.
Percentile (mid-rank)
92.3
Relative position
0–25 Lower middle
25–50 Upper middle
50–75 Top 25%
75–100
Top
1.0%
Quartile
Q1
Decile
D1
CDF (strictly below)
92.0%
(n − r) / n × 100 — textbook definition.
Mid-rank (NIST)
92.3%
(n − r + 0.5) / n × 100 — symmetric and most cited.
Inclusive
92.7%
(n − r + 1) / n × 100 — common on transcripts.
Rank 1 = highest. Different percentile conventions coexist — when applying, follow the formula specified by the receiving institution.
Formula
top% = r/n × 100 | CDF percentile = (n − r)/n × 100 | mid-rank percentile = (n − r + 0.5)/n × 100 | inclusive percentile = (n − r + 1)/n × 100
- · r = your rank (1 = highest); n = the total cohort size.
- · CDF (strictly below): the textbook statistical definition — gives 0 % for the very last and 100 % for the very first.
- · Mid-rank (NIST/SEMATECH and Hyndman & Fan Type 5): (n − r + 0.5)/n × 100 — symmetric: PR(top) + PR(bottom) = 100 exactly.
- · Inclusive: (n − r + 1)/n × 100 — used on some transcripts; "you or anyone ranked below you".
- · All three are shown so you can pick whichever convention the receiving institution specifies — UCAS, Common App and SAT score reports do not agree on a single definition.
- · Source: NIST/SEMATECH e-Handbook §7.2.6.2, Hyndman R.J. & Fan Y. (1996) "Sample Quantiles in Statistical Packages".
Frequently asked
What is the percentile rank for rank 12 out of 150?
Top percentage = 12/150 × 100 = 8 %, i.e. "top 8 %", top quartile, first decile. All three percentile conventions land near 92 %: CDF = (150−12)/150 × 100 = 92.0 %; mid-rank = (150−12+0.5)/150 × 100 ≈ 92.33 %; inclusive = (150−12+1)/150 × 100 ≈ 92.67 %. The tool shows all three simultaneously.
Why are there three different percentile formulas — which should I use?
There are three ways to count "what fraction is below me": strictly below (CDF), with 0.5 of myself added (mid-rank), or with my full self included (inclusive). They only differ noticeably at the extremes (rank 1 or last), with mid-range ranks differing by < 1 %. NIST and most statistics packages (R, Excel's PERCENTRANK.INC) recommend mid-rank; UCAS and Common App reports usually use CDF; some school transcripts use inclusive. Use whichever the receiving institution specifies.
What is the difference between "top 10 %", "top quartile" and "first decile"?
All three describe how high up the cohort you sit — only the granularity differs. "Top 10 %" is a threshold: r/n ≤ 10 %. "Top quartile" (Q1) splits the cohort into four parts: r/n ≤ 25 %. "First decile" (D1) splits into ten and is equivalent to top 10 %. The tool reports both the quartile (1–4, highest first) and decile (1–10) for you directly.
How many places must I be in to make the top 10 %?
To make the top X %, your rank must satisfy r ≤ ⌊n × X / 100⌋. With n = 150 and X = 10, you need rank ≤ 15 (150 × 0.10 = 15). For top 5 %, rank ≤ 7 (150 × 0.05 = 7.5 → 7). Try entering rank 15 and total 150 in the tool — top % will read 10.0 %.
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